Answer:
Slope = - 2
Explanation step by step:
Which function is graphed?
A. y = {x² +4, x≤ 2
-x+4, x<2
B. y = {x² +4, x>2
-x+4, x>2
C. y = {x²+4,x>2
-x+4, x≤2
D. y = {x² +4,x<2
-x+4, x >2
Option D, the function is graphed. And the condition is y = {x² +4,x<2
-x+4, x >2
What is a function?In a mathematical function from a set X to a set Y, exactly one element of Y is assigned to each element of X. The function's codomain and domain are respectively referred to as the sets X and Y as a whole.
Functions were initially thought of as the relationship between varying quantities and other variables. The impact of time on a planet's position serves as an example of this. The concept was historically developed with the development of infinitesimal calculus at the end of the 17th century, and up until the 19th century, the functions taken into consideration were differentiable.
Let us check option A first
y={x² +4, x≤ 2
-x+4, x<2
For, x² +4, x≤ 2
x 2 1 0 -1 -2
y 3 5 4 5 8
Here, the condition is satisfied
Now, we have to check the condition
-x+4, x<2
The condition is not satisfied.
Similarly, we have to check all the options.
And finally by checking all the conditions,
Option D is correct and the conditions are
y = {x² +4,x<2
-x+4, x >2
Therefore, the option D function is graphed.
To know more about the function, visit:
https://brainly.com/question/12561612
#SPJ1
A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large boxes. Each small box has 12 granola bars and each large box has 18 granola bars. The camp bought a total of 15 boxes that have 240 granola bars altogether. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.
A system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased include the following:
s + l = 15
12s + 18l = 240.
How to write the two equations for this system?In order to write a system of linear equations could be used to model and determine the number of small boxes purchased and the number of large boxes purchased, we would assign variables to the number of small boxes that were purchased, the number of large boxes that were purchased, and the total number of boxes respectively as follows:
Let the variable s represent the number of small boxes that were purchased.Let the variable l represent the number of large boxes that were purchased.Let the variable t represent the number of large boxes that were purchased.Translating the word problem into an algebraic equation, we have the following;
Since each small box has 12 granola bars and each large box has 18 granola bars, we have:
12s + 18l = 240.
For a total of 15 boxes altogether, we have:
s + l = 15
Read more on equation here: brainly.com/question/18912929
#SPJ1
identify the vertex axis of symmetry and domain and range. x: -2, -1, 0. -1, -2 g(x): -6, -3, 0, -3, -6
The vertical axis of symmetry is x = -1
the domain is {-2 2}
the range is {-6, 0}
What is domain and range?The domain refers to all possible value in the input of a graph. The input is the x coordinate and the possible values here is within the interval
-2 ≤ x ≤ 2The range refers to all possible value in the out put of a graph. The out put is the y coordinate and the possible values here is within the interval
-6 ≤ y ≤ 0Axis of symmetry refers to where the graph is bisected, the problem asked of vertical axis of symmetry. Therefore the line will be between the y coordinates
The vertical axis of symmetry and this x = -1
Learn more about domain of linear functions here:
https://brainly.com/question/29356636
#SPJ1
This scale drawing shows a parking lot with an actual length of 315 meters. What is the width of the actual parking lot?
The width of the actual parking lot, given the length of the scale drawing and the actual length, is 235 m
How to find the width?The scale is given in the question to be 1 cm : 50 m. This means that for every 1 cm on the scale drawing, the actual dimensions are 50m.
Given that the width of the parking lot on a scale drawing is 4. 7 cm, the width of the actual parking lot will be:
= Width of parking lot on scale drawing x Number of meters per centimeter in drawing
= 4. 7 x 50
= 235 m
Find out more on scale at https://brainly.com/question/24693076
#SPJ1
Project: Chef for a DayImagine you are the pastry chef at your favorite restaurant. The manager has just told you that you have a large crowd coming in for lunch tomorrow and you need to prepare. This project includes a recipe for chocolate chip cookies. You are expecting 60 people, but the recipe does not serve that many people, so you will need to adjust the ingredients so there will be enough.
Chocolate Chip Cookies (makes 12 servings)
1 ¼ cups all-purpose flour
½ teaspoon baking soda
¼ teaspoon salt
¾ cup sugar
1 egg
2 tablespoons milk
1 ¾ cup chocolate chips
Read each question below carefully and provide complete answers.
1. This recipe serves 12 people, but you need to serve 60 people. What number will you need to multiply the amount of each ingredient by to adjust the recipe? How did you determine this number?
2. Show the steps involved in finding out how much flour you will need to make 60 servings of chocolate chip cookies, as if you were teaching someone how to multiply with fractions. Please do not use decimals in your work or in your final answer.
3. Show the steps involved in finding out how much baking soda you will need to make 60 servings of chocolate chip cookies, as if you were teaching someone how to multiply with fractions. Please do not use decimals in your work or in your final answer.
4. Rewrite the rest of the chocolate chip cookie recipe for 60 servings. Be sure to show your work for each ingredient and express each amount as a fraction.
_____teaspoons salt
_____cups sugar
_____eggs
tablespoons milk
_____ cups chocolate chips
5. How many more eggs do you need for 60 servings than you need for 12 servings? How did you obtain this number?
6. If you wanted to make exactly 78 servings of chocolate chip cookies, what number would you need to multiply the original amount of each ingredient by to adjust the recipe? How did you determine this number?
7. Consider you make a mistake with the salt and multiply wrong which adds more salt then needed. Your cupcakes might not taste the greatest. Another mistake might be you incorrectly find the wrong amount to make. You make too little or not enough. What we do after the mistake is the important part. These mistakes are really not a big deal but in some instance in life we make bigger mistakes that weigh heavy on us. God is a loving and forgiving God. Isaiah 41:10 Fear not, for I am with you; be not dismayed, for I am your God; I will strengthen you, I will help you, I will uphold you with my righteous right hand.
Reflect on a time when you made a mistake. It can be a big mistake, a small mistake, or somewhere in between. Please don’t go into specifics but talk about how you handled the situation with God’s help and how you felt after. Please write a paragraph of at least 5 sentences.
NEED HELP FAST ITS A PROJECT!
The number needed to multiply the amount of each ingredient by to adjust the recipe is 5. It's determined by dividing the number of people that needs to be served by the number of people the provided ingredients will serve.
The steps involved in finding out how much all-purpose flour needed to make 60 servings of chocolate chip cookies is multiplying Quantity of flour provided by number needed to multiply each ingredients with.The steps involved in finding out how much baking soda needed to make 60 servings of chocolate chip cookies is multiplying Quantity of baking soda provided by number needed to multiply each ingredients with.Quantity of other ingredients needed expressed as a fraction:1 ¼ teaspoons salt
3 ¾ cups sugar
5 eggs
10 tablespoons milk
10 ½ cups chocolate chips
The number of eggs needed for 60 servings than 12 servings is 4 eggs. This is obtained by subtracting eggs needed for 12 servings from eggs needed for 60 servingsThe number needed to multiply the amount of each ingredient by to adjust the recipe to 78 servimgs is 6 ½. It's determined by dividing the number of people that needs to be served by the number of people the provided ingredients will serve.How to adjust given ingredients to the required number of servingsThe ingredients provided serves = 12 peopleNumber of people that needs to be served = 60 people1. Number needed to multiply the amount of each ingredient by to adjust the recipe = Number of people that needs to be served ÷ The ingredients provided serves
= 60/12
= 5
2. Steps involved in finding out how much flour you will need to make 60 servings of chocolate chip cookies.
Quantity of flour provided = 1 ¼ cups
Flour needed for 60 servings = Quantity of flour provided × number needed to multiply each ingredients with
= 1 ¼ × 5
= 5/4 × 5
= 25/4
= 6 ¼
3. Steps involved in finding out how much baking soda you will need to make 60 servings of chocolate chip cookies
baking soda needed for 60 servings = Quantity of baking soda provided × number needed to multiply each ingredients with
= ½ × 5
= 5/2
= 2 ½
4. Teaspoons salt = ¼ × 5 = 5/4 = 1 ¼
Cups sugar = ¾ × 5 = 15/4 = 3 ¾
Eggs = 1 × 5 = 5
tablespoons milk = 2 × 5 = 10
Cups chocolate chips = 1 ¾ × 6 = 7/4 × 6 = 42/4 = 10 ½
5. The number of eggs needed for 60 servings than 12 servings = eggs needed for 60 servings - ieggs needed for 60 servings
= 5 - 1
= 4
6. Number needed to multiply the amount of each ingredient by to adjust the recipe to 78 servings = Number of people that needs to be served ÷ The ingredients provided serves
= 78/12
= 6 ½
7. One time I made a mistake of keeping bad company, it really affected my studies because I lost concentration in school. My parents were disappointed in me but they helped me get back on the right track.
Read more on recipes and ingredients:
https://brainly.com/question/2985210
#SPJ1
Simplify -4 3/4 - 8 4/5
Answer:
this equal to -13.55 hopefully this helps
If you are tossing a six-sided die, what is the probability of getting either a 1 or a 2 on your first toss and a 1 or a 2 on your second toss?.
The probability of getting either 1 or 2 on first and second toss is 1/9
How to calculate the probability?
Probability is numerical description for how likely something is to happen. To know probability something event we just divide no the outcome by total possible of the outcome.
The probability of either 1 or 2 side on first toss is
= no the outcome / total possible the outcome
= 2/6
= 1/3
For second toss is same as first toss
= 2/6
= 1/3
Since the second toss is independent, it is called an independent event. So, we just need to multiply the probability on the first toss by the probability on the second toss,
= 1/3 * 1/3
= 1/9
Thus, the probability of getting either 1 or 2 on first and second toss is 1/9
Learn more about probability here:
brainly.com/question/22597778
#SPJ4
A bus travelling from Camiling to Tarlac City collects a travelling fee of 10 pesos per x²+5 Km. Determine the travelling cost in peso of a passenger going to a distance that is 3/2 times more distant than the average.
The cost for a passenger going to a distance that is 3/2 times more distant than the average is; 15 pesos
How to solve algebraic word problems?We are given that;
Average distance covered per passenger = x² + 5 Km.
Cost per average distance = 10 pesos
Cost per km = 10/(x² + 5) pesos per km
We are told that a passenger now goes a distance that is 3/2 times more distant than the average. Thus, this distance is;
(3/2)(x² + 5) Km
The cost for this given distance will be;
10/(x² + 5) * (3/2)(x² + 5)
= 10 * (3/2)
= 15 pesos
Thus, we conclude that the travelling cost in pesos is 15 pesos
Read more about Algebraic word problems at; https://brainly.com/question/21405634
#SPJ1
explain this asap please no clue where to go
The parametric equations of the curve are x = -10 + 1t and y = -20 - 4t
How to determine the parametric equations of the curve?A parametric equation is defined as a type of equation that employs an independent variable called a parameter (often denoted by t)
Given: The line with slope -4, passing through (-10, -20)
We can use the given properties of the curve to describe it parametrically as follows
The slope of -4 implies that if y decreases by 4, x increases by 1 i.e slope = Δy/Δx = -4/1. Thus, we have
x = -10 + 1t
y = -20 - 4t
Therefore, the parametric equations are x = -10 + 1t and y = -20 - 4t. So (x(t) , y(t)) = (-10 + 1t, -20 - 4t)
Learn more about parametric equations on:
https://brainly.com/question/10165611
#SPJ1
What is the value of -9?
A. 18
B. 9
C. 0
D. -9
Pls help will give 20 Points!
Answer: The question is a bit unclear but the value of -9 is -9, the absolute value of -9 is 9. Does that answer your question?
Step-by-step explanation:
26. Which is the correct coefficient of 147,000 when it is written in scientific notation?
A 147
B 1.47
C 14.7
D 0.147
The correct coefficient is 147
In scientific notation, a number is represented by an exponent, or the power of 10, multiplied by the coefficient, which appears before the times sign. For instance, 4.3 is the coefficient and 6 is the exponent in the equation 4.3 x 10^6, which is equivalent to 4,300,000 (four million three hundred thousand).
From the question, we have
147,000 = 147 *10^3
The correct coefficient is 147
Multiplication:
Mathematicians multiply two or more numbers to determine the sum of the parts. It is a fundamental mathematical procedure that is commonly used in real-world situations. Multiplication is used when groups of like sizes need to be combined. Multiplication is a mathematical operation that illustrates the fundamental idea of adding the same number again. The product of two or more numbers is what occurs from multiplying them, while the components are the quantities that are multiplied. Multiplying the numbers makes it simpler to repeatedly add the same quantity.
To learn more about multiplication visit: https://brainly.com/question/5992872
#SPJ9
Use properties to determine whether the expressions are equivalent. 8(9x − 2) and 72x − 2
Answer: No they are not equivalent.
Step-by-step explanation: 8(9x-2) = 72x-2
= 8(9x-2) = 72x - 16
= 72x -16 is not equivalent to 72x -2.
Which situation cannot be represented by the equation 8−x=3?
Responses
ASAP PLEASE
Responses
Sunnyville had 3 fewer inches of rain than Pleasantville. Pleasantville had 8 inches of rain. What is x, the amount of rain in Sunnyville?
Jackson walked 8 dogs. Henry walked 3. What is x, the number of dogs the boys walked all together?
Joe had $8 and bought a piece of pizza. He had $3 left over. What is x, the cost of the pizza?
The difference between Amal's score and Katie's score was 3. Amal had 8 points, but Katie had fewer. What is x, the amount of Katie's score?
the auditors have sampled 50 accounts from a population of 1,000 accounts receivable. the sample items have a mean book value of $200 and a mean audited value of $203. the book value in the population is $198,000. what is the estimated total audited value of the population using the difference method?
The estimated total audited value of the population using the difference method is $201,000.
The difference method works as follows :
A difference method is a mathematical expression of the form
f (x + b) − f (x + a). If a finite difference is divided by b − a, one gets a difference quotient.
Given that,
A population of 1,000 accounts .
The sample items have a mean book of $200 and
A mean audited value of $203
Therefore, the difference of $203 - $200 = $3
Now, Apply the difference to the population of accounts and we get,
(1000 account × $3) = $3000
As Given in the question,
The book value in the population is $198,000 and we add the difference previously calculated of $3,000
So, we have = $198,000 + $3,000
= $201,000
Learn more about Book Value:
https://brainly.com/question/20436978
#SPJ4
Question Progress
The height of Dyffan is 75 centimetres.
The height of Logan is 80 centimetres.
Write the height of Dyffan as a fraction of the height of Logan.
Give your answer in its simplest form.
Answer:
15/16
Step-by-step explanation:
75/80
15/16
What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3? m
The y-coordinate of the point that divides the directed line segment from J to K into a ratio of is 5.
The coordinates of point that divides the line segment into m:n ratio can be obtained as follows,
Coordinates of point = [tex](\frac{mx_{2}+ nx_{1} }{m+n} \frac{my_{2}+ ny_{1}}{m+n} )[/tex]
The coordinate of point J is (-3,1)
The coordinate of point K is (-8,11)
Consider the point that divides the line segment into 2:3 ratio as P(x,y).
The coordinates of point that divides the line segment into 2:3 ratio can be calculated as follows,
[tex]Coordinates of P = (\frac{3(-3)+2(-8)}{2+3}, \frac{3(1)+2(11)}{2+3} )[/tex]
[tex]= (\frac{-9-16}{5}, \frac{3+22}{5} )\\\\= (\frac{-25}{5} \frac{25}{5} )[/tex]
= (-5,5)
Hence the answer is The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3 is 5.
To learn more about coordinates click here https://brainly.com/question/17206319
#SPJ9
find the slope of the line (2,4) (2,-3)
Answer: The slope is undefined because the line is vertical
Step-by-step explanation:
Slope = (y2 - y1) / (x2 - x1)
Slope = (-3 - 4) / (2 - 2) = -7/0 =undefined
This is a vertical line.
Where is A after relfecting over the x axis the translate 3 units right
The coordinates of A is (0,2)
How can a image be reflected?
Behind a mirror's glass, people can see a reflection of themselves. The shiny surface creates that image when light rays strike it and reflect or bounce back, creating a "mirror image." Contrary to popular belief, the reflection is not mirrored from left to right as many people believe.
The coordinates of the point A is (-3,-2)
The rule of reflection over x-axis is
(x,y)→(x,-y)
So the point A after reflecting over the x-axis becomes
A(-3,-2)→ A(-3,2)
To move the point P(x,y), a units right and b units up we use
P(x+a,y+b)
As per the question as it moves 3 units right
∴ A(-3.2)
⇒A(-3+3,2)
The point A now is A(0,2)
To learn more about a image be reflected from the given link
https://brainly.com/question/26642069
#SPJ1
HELP ASAP PLEASE!!!!
Answer:
y=1,-4,-9,-14
Step-by-step explanation:
just replace x with the given value and find what it equals to
y=-5(0)+1
y=1
y=-5(1)+1
y=-5+1
y=-4
y=-5(2)+1
y=-10+1
y=-9
y=-5(3)+1
y=-15+1
y=-14
Hopes this helps please mark brainliest
Answer:
Please mark as brainiest
Step-by-step explanation:
when x = 0:
y= -5(0)+1
y=0+1
y=1
when x = 1:
y= -5(1)+1
y= -5+1
y= -4
when x = 2:
y= -5(2)+1
y= -10+1
y= -9
when x = 3:
y= -5(3)+1
y= -15+1
y= -14
triangle with side of 8 and 11 and angle of 38
The area of the triangle is 43.81 square units
The side a = 8 units
The side b = 11 units
The perimeter of the triangle = 32 units
First we have to find the third side of the triangle
a + b + c = 32
Substitute the values in the equation
8 + 11 + c = 32
19 + c = 32
c = 32 - 19
c = 13 units
Then the area of the triangle = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
The value of s = (a + b + c) / 2
= (8 + 11 + 13) / 2
= 32/2
= 16
Substitute the values in the equation
The area of the triangle = [tex]\sqrt{16(16-8)(16-11)(16-13)}[/tex]
Subtract the terms
= [tex]\sqrt{(16)(8)(5)(3)}[/tex]
= [tex]\sqrt{1920}[/tex]
= 43.81 square units
Hence, the area of the triangle is 43.81 square units
The complete question is:
Find the area of a triangle , two sides of which are 8 cm and 11 cm and the perimeter is 32 cm.
Learn more about area of triangle here
brainly.com/question/19305981
#SPJ9
What is the meaning of a 95% confidence interval for a population mean?
A 95% confidence interval is a set of data that contains the real mean of the population 95% of the time. This is not the same as a range that includes 95% of the possible values.
What is Confidence Interval?
In statistics, a confidence interval defines the possibility that a population parameter will fall between a set of values for a certain proportion of the time.
To learn more about statistics from the given link
https://brainly.com/question/17097944
#SPJ4
complete the equivalent fraction 1/7=x/35
Which volume unit is smaller?
cubic millimeter cubic centimeter
Cubic millimeter volume unit is smaller.
You would multiply a measurement in cubic centimeters by 1,000 to translate it to cubic millimeters. This makes sense because you would anticipate needing a lot more cubic millimeters to fill the same space because a cubic centimeter is greater than a cubic millimeter.
Volume:
The total number of cubic units that a cube occupies in three dimensions is its volume. Six faces, twelve edges, and eight vertices make up the three-dimensional shape of a cube. Therefore, the area encircled by a cube's six faces is considered to equal its volume. It differs from 2D shapes in that it adds a third dimension, known as height or thickness, in addition to length and breadth. Since the product of a cube's length, width, and height determines its volume. Cubic units are used to measure it. The volume of a cube increases as the value of its dimensions increases.
To learn more about volume visit: https://brainly.com/question/24086520
#SPJ1
6w - 13w - 18 = -81 Solve for w.
Simplify your answer as much as possible.
X1. A restaurant owner keeps track of the food
prepared for guests for several days. Based on this
data, what is the constant of proportionality, if any
for this scenario? Show or explain how you know.
Vegetables Guests
Prepared
(Pounds)
Friday 15
Saturday 35
Sunday 25
Day
(number)
12
28
20
The constant of proportionality is the ratio of the number of guests to the food prepared is 0.8.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given tabel,
Suppose the number of guest ∝ food prepared.
Take the first data,
12 ∝ 15
12 = k(15)
k = 12/15 = 0.8
Hence "The constant of proportionality is the ratio of the number of guests to the food prepared is 0.8".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ1
The given question is incomplete, the complete question follows,
How to do q14 pleaseeeee someone help me i really need help
The mean of the previous four tasks was 77%.
What is Mean?
The mean is just the average of the given set of values. It represents a data set's values being distributed evenly.
Solution:
Mean = Sum of Observation / Total Number of Observation
Let, the sum of previous four values be x
According to the question,
78 = x + 82 / 5
here, 5 is the total number of observations
so,
x can be calculated by cross multiplication
390 - 82 = x
x = 308
Since, we have the sum of the four values and the numer of observations is 4, then mean would be
Mean = 308/4
Mean = 77%
To learn more about Mean from the given link
https://brainly.com/question/14532771
#SPJ1
1 4/5 is what fraction of 1 2/3
The fraction that 1 4/5 is of 1 2/3 is 1 2/25.
What is fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
Let the fraction be illustrated as x
Therefore, 1 2/3 of x = 1 4/5
5x/3 = 9/5
Cross multiply
5x × 5 = 3 × 9
25x = 27
Divide
x = 27 / 25
x = 1 2/25.
The fraction is 1 2/25.
Learn more about fractions on:
brainly.com/question/17220365
#SPJ1
A 60 inch board is to be cut into three pieces so that the second piece is four times as long as the first piece and the third piece is five times as long as the first piece if X represents the length of the first piece find length of all three pieces
The length of the first piece is 6 inches.
The length of the second piece is 24 inches.
The length of the third piece is 30 inches.
What is the length of each piece?The length of the first piece = x
The length of the second piece = 4 ×x = 4c
The length of the third piece = 5 × x = 5x
Total length of the board = 60
Sum of the length of the three pieces = total length of the board
x + 4x + 5x = 60
10x = 60
x = 60 / 10
x = 6
The length of the second piece = 4 ×6 = 24
The length of the third piece = 5 × 6 = 30
To learn more about how to calculate length, please check: https://brainly.com/question/11349306
#SPJ1
On a given blueprint, 1 in. : 6 ft. If the dimensions of the bedroom on the blueprint are 0.8 inches × 2.3 inches, what are its actual measurements? A. 4.8 ft by 13.8 ft B. 9.6 ft by 27.6 ft C. 18.4 ft by 14.8 ft D. 2.875 ft by 17.25 ft
The actual measurements of bedroom are 4.8 feet and 13.8 feet. Therefore, option A is the correct answer.
Given that, on a given blueprint, 1 in. :6 ft.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
The dimensions of the bedroom on the blueprint are 0.8 inches × 2.3 inches
Here, 0.8 × 6
= 4.8 feet
2.3 × 6
= 13.8 feet
The actual measurements of bedroom are 4.8 feet and 13.8 feet. Therefore, option A is the correct answer.
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
#SPJ1
X1. A restaurant owner keeps track of the food
prepared for guests for several days. Based on this
data, what is the constant of proportionality, if any
for this scenario? Show or explain how you know.
Vegetables Guests
Prepared
(Pounds)
Friday 15
Saturday 35
Sunday 25
Day
(number)
12
28
20
The constant of proportionality is the ratio of the number of guests to the food prepared is 0.8.
What are the ratio and proportion?
The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given table,
Suppose the number of guest ∝ food prepared.
Take the first data,
12 ∝ 15
12 = k(15)
k = 12/15 = 0.8
Hence "The constant of proportionality is the ratio of the number of guests to the food prepared is 0.8".
To learn more about ratios and proportions, click here https://brainly.com/question/12024093
#SPJ9