Katie's favorite deli has a salad bar where she can make her own salad. She has to pay $1 for the container and $3 per pound for the salad.
Write an equation that shows how the total cost, y, depends on weight of the salad in pounds, x.
Do not include dollar signs in the equation

Answers

Answer 1

Answer:

y = 3x + 1

Step-by-step explanation:

Answer 2

Answer: y = 3x + 1

Step-by-step explanation:

Following the y = mx + b theory, we can find the equation (see attached image) by plugging in two points of the hypothetical graph.

For one pound of salad, Katie will pay $4 ($3 for the salad, $1 for the container). Thus, the first point will be (1,4). For two pounds, Katie will pay $7. Thus, the second point will be (2,7).

Knowing that m (slope) = [tex]\frac{y_{2}-y_{1}}{x_{2}-{x_1}}[/tex], we can get the equation m = [tex]\frac{7-4}{2-1}[/tex], thus telling us that m = [tex]\frac{3}{1}[/tex], or 3. Plug in 3 for m, and you get y = 3x + b.

To solve for b, lets' use the second point (2,7). Plug in the coordinates and you get 7 = 3(2) + b, or 7 = 6 + b. Subtract 6 from both sides and you get b = 1.

Plug in 1 for b and you end up with y = 3x + 1

Katie's Favorite Deli Has A Salad Bar Where She Can Make Her Own Salad. She Has To Pay $1 For The Container

Related Questions

Hwlp with work its 3am and im stuck help

Answers

Answer:

[tex]\huge\boxed{a) 28 \\ }\huge\boxed{b) 31}[/tex]

Step-by-step explanation:

A fibonacci-type sequence is simply a sequence that consists of the n-1th term + the n-2th term.  This simply means that the sum of the two numbers before a term, are the term.

Hope it helps :) and let me knwo if you want me to elaborate.

Answer:

a is 28 and  b is 31

Step-by-step explanation:

i hoped this helped

A factory produces bolts at a constant rate. After 4 hours, 3,200 bolts have been produced. Which graph models a relationship with the same rate?

Answers

Answer is D. Because 3,200 bolts at 4 would be 800 per hour which matches up with the graph

The graph that models the relationship between the factory production and the time is the graph in option D

The number of bolts produced within four hours is 3200

The rate of production is the ratio of the change in the number of bolts produced to the the change in time

Change in the number of bolts produced, ∆y = 3200 bolts

Change in time, ∆t  =  4 hours

Rate of change = ∆y / ∆t

Rate of change = 3200/4

Rate of change = 800 bolts per hour

The only graph that models this relationship is the graph in option D because it also have a rate of change of 800 bolts per hour

Learn more here: https://brainly.com/question/25553795

1/2v-12+20=14
whats the answer of v

Answers

Answer:

v=12

Step-by-step explanation:

1/2v-12+20=14

Add.

1/2v+8=14

Subtract 8 from both sides of the equation.

1/2v=6

Divide 1/2 from both sides of the equation.

v=12

Hope this helps :)

Eva has a points card for a movie theater. She receives 65 rewards points just for signing up. She earns 13.5 points for each visit to the movie theater. She needs at least 200 points for a free movie ticket. Use the drop-down menu below to write an inequality representing vv, the number of visits she needs to make in order to get a free movie ticket.

Answers

Answer:

10

Step-by-step explanation:

200-65= 135

135/13.5=10

Make b the subject of P = 1/2 a b² + c where b is positive. (3 marks)

Answers

That’s the answer to the question

David’s bank offers a 36-month Certificate of Deposit (CD) with an APR of 2.25%. Use the compound interest formula to answer the following: a) If P = 2000, what is A(8)? b) Solve the equation A(t) = 4000 for t. c) What principal P should be invested so that the account balance is $2000 in three years?

Answers

Using compound interest, it is found that:

a) A(8) = 2389.66

b) t = 31.15

c) P = 1870.85

Compound interest:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

A(t) is the amount of money after t years.  P is the principal(the initial sum of money).  r is the interest rate(as a decimal value).  n is the number of times that interest is compounded per year.  t is the time in years for which the money is invested or borrowed.

In this problem:

The APR is of 2.25%, hence [tex]r = 0.0225[/tex].No information about the number of compounding per year, hence [tex]n = 1[/tex].

Item a:

[tex]P = 2000[/tex], hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(8) = 2000\left(1 + \frac{0.0225}{1}\right)^{8}[/tex]

[tex]A(8) = 2389.66[/tex]

Item b:

[tex]A(t) = 4000[/tex], hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]4000 = 2000\left(1 + \frac{0.0225}{1}\right)^{t}[/tex]

[tex](1.0225)^t = 2[/tex]

[tex]\log{(1.0225)^t} = \log{2}[/tex]

[tex]t\log{1.0225} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.0225}}[/tex]

[tex]t = 31.15[/tex]

Item c:

[tex]A(3) = 2000[/tex], hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]2000 = P\left(1 + \frac{0.0225}{1}\right)^{3}[/tex]

[tex]P = \frac{2000}{(1.0225)^3}[/tex]

[tex]P = 1870.85[/tex]

A similar problem is given at https://brainly.com/question/24850750

Help me do this plz

Answers

Answer:

10.25

Step-by-step explanation:

Using the pythagorean theorem

13^2 = 8^2 + (ML)^2

169 = 64 + (ML)^2

Subtract 64 from both sides

105 = (ML)^2

Take the square root of both sides

10.25 = ML

41 divided by 533 estimate it and its long division and I have to find the R

Answers

Answer:

12 R20

Step-by-step explanation:

changed 41 to 40 and 533 to 500. work is in file above.

consider the function represented by the equation 6q = 3s - 9. write the equation in function notation where q is the independent variable

Answers

Answer:

3s = 6q + 9

Step-by-step explanation:

Remember y = mx + b? The function you provided is exactly that but with different letters. As written, the dependent variable is 6q since that is what is isolated. To make it the independent variable, isolate something else so that it becomes the dependent variable. In other words, solve for s by moving the 9 to the other side of the equation.

6q = 3s - 9

3s = 6q + 9

on her first six test, Sandra's scores were 75 70 80 80 85 and 90 find the mean of the six scores

Answers

Answer:  80

Explanation:

First add up the scores: 75+70+80+80+85+90 = 480

Then divide by n = 6 because there are 6 scores. We get 480/n = 480/6 = 80 as the mean.

I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT

Answers

https://brainly.com/question/11989726 click the link change your country to Philippines you will the answer there
The answer should be 27.295

There are 1580 adults and children on a ship. 60% of them are adults. When the ship arrives are harbour, some of the students alight and the percentage of adults remaining on the ship decreases by 20%. How many adults alight from the ship?

Answers

Answer:

1580÷100×60

=948

60%=948

60-20

=40

1580÷100×40

=632

948-632

=316

MARK ME BRAINLIEST PLS I WILL GET A NEW RANK!!

Work out the percentage change when a price of £40 is decreased to £18

Answers

£40-£18= £22

£22/£40= %55 reduction

How to multiply with square roots and normal number.

Answers

Answer:

To multiply square roots, we multiply the numbers inside the radical. Any numbers outside the radical are also multiplied.

Step-by-step explanation:

What is the value of this expression when c = 3 and d = 7? 15+c2⋅d−c3

Answers

Answer:

The answer to the equation is 48.

Answer:

The value of this expression is 48

Step-by-step explanation:

15 + c2 * d - c3

c = 3

d = 7

Substitute the value of c and d

15 + (3)2 * 7 - (3)3

Multiply the parenthesis first

15 + 6 * 7 - 9

Now multiply 6 and 7

15 + 42 - 9

Now add 15 and 42

57 - 9

Now subtract

= 48

Y=2x-1 và y=3x+2 khi

Answers

Answer:

x = 3, y= 5

Step-by-step explanation:

y = 2x - 1 -----(1)

y = 3x + 2 ----(2)

From (1)

2x - y = 1 ----(3)

From (2)

3x - y = -2 -----(4)

Solving (3) and (4) simultaneously

2x - y = 1

- 3x - y = -2

___________

x = 3

subst. x = 3 in (1)

2(3) - y = 1

6 - y = 1

y = 6-1

y = 5

Hence, x = 3, y = 5

1. Which is the counterexample to the following conjecture?
If a number is divisible by 3, it must also be divisile by 9.
18
21
27
O
54

Answers

21 is not divisible by 9

At a craft fair, Emily sold paper flowers for $0.55 each. She sold
48 flowers. How much money did she make?

Answers

Answer:

$26.40

Step-by-step explanation:

Answer:

$26.40

Step-by-step explanation:

1 paper flower=$0.55

Therefore,48 paper flowers=?

cross multiplying,we have 0.55×48=$26.40

This question: 1p
Find the surface area of the prism.

Answers

Answer:

Step-by-step explanation:

A can of crushed tomatoes holds 40 fluid ounces. How can a label designer name the same volume using metric units? Complete the explanation.

The designer can use the ratio 1 fluid ounce ≈ 29.6 milliliters and then multiply:
40 × blank
=
. The designer might decide to convert mL to L and round to the nearest tenth of a liter:
mL ≈
L

Answers

The metric unit of a quantity is simply the unit of measurement of the quantity

The volumes of the crashed tomato cans are 1184 milliliters and 1.184 liters

The volume of the crushed tomato can is given as:

[tex]\mathbf{Volume = 40oz}[/tex]

From the question, we have the following conversion ratio

[tex]\mathbf{1oz \approx 29.6mL}[/tex]

So, the volume in milliliters becomes

[tex]\mathbf{Volume = 40 \times 29.6mL}[/tex]

Multiply

[tex]\mathbf{Volume = 1184mL}[/tex]

To convert the unit to liters, we simply divide the volume by 1000.

So, we have:

[tex]\mathbf{Volume = 1184L \div 1000}[/tex]

[tex]\mathbf{Volume = 1.184L}[/tex]

Hence, the equivalent volumes are 1184 milliliters and 1.184 liters

Read more about metric units at:

https://brainly.com/question/2004114

What is a dot product.

Answers

Answer:

In mathematics, the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number. ... Algebraically, the dot product is the sum of the products of the corresponding entries of the two sequences of numbers

Step-by-step explanation:

A number c minus 7.3 is less than 6. write this word sentence as an inequality?

Answers

Answer:

c - 7.3 < 6

Step-by-step explanation:

c - 7.3 is less than 6

less than is the same as <

So c - 7.3 < 6

-Chetan K

Answer:

c - 7.3 < 6

Step-by-step explanation:

Which equation is epuivalent to -(6 - x)= 24

Answers

Answer:-6- x = 24

Step-by-step explanation:

Find the slope of the line shown below.​

Answers

Hello! :)

The slope of this line is 0.

Remember, to find the slope, we divide the rise by the run. The rise is how many units we move up; the run is how many units we move right or left.

Here, we move 0 units up, so the rise is 0.

No matter what the run is, the slope is 0 anyway.

Hope it helps you!

If you have any questions, feel free to ask! (:

~An excited gal

[tex]SparklingFlower :)[/tex]

Answer:

its 0 sowe

Step-by-step explanation:

I am struggling with my math. help me please


HELP ME!!!!

Answers

Answer: 234

Step-by-step explanation:

5.f(1)+5.g(9)=
Please answer the questions

Answers

Answer:

5f+45g

Step-by-step explanation:

Simplify

5*f(1) = 5f

5*g(9) = 45g

5f+45g

f(1)= -5
g(9)= -6

5 x -5 = -25
5 x -6 = -30

-25 + -30 = -55

Clare finds an expression for S(r) that gives the surface area in square inches of any cylindrical can with a specific fixed volume, in
terms of its radius r in centimeters. This is the graph Clare gets if she allows r to take on any value between 1.2 and 3.

Answers

The function that gives the surface area has the radius as a denominator.

The values r can take are; 0.1, 1, 2, and 3

Reasons:

The given parameter are;

The expression Clare finds is the surface area for a fixed volume in terms of the radius, r, is S(r)

The function is used to plot the graph

The values r are allowed to take (obtained from a similar question are) = -1, 2, and 3

The graph of a similar function representing the surface area is attached;

[tex]\displaystyle S(r) = \mathbf{2 \cdot \pi \cdot r^2 + \frac{2 \cdot \pi }{r}}[/tex]

From the graph, it is observed that there is a vertical asymptote at x = 0 (infinite discontinuity)

Therefore, Claire should use the a domain that gives a continuous graph,

given that r is a denominator of the function, by allowing the radius, r to

take on only natural number values (values larger than 0)

The domain is therefore; 0 < r < ∞

The values r can take should therefore be 0.1, 1, 2, and 3

Learn more about asymptotes here:

https://brainly.com/question/17257427

The number of data points from the box that fall in the interval of 10-15 is 21 25 25 26 19 24. 25 17 23 25 30 28 25 28 19 21 25 17 21 24 30 17 28 20 21​

Answers

Answer:

I have no clue I'm trying to get my account set up

If it took 3 hours to clean 5 houses, how many houses could be cleaned in 9 hours?

Answers

3*5=15 houses can be cleaned in 9 hours

Which statement proves that ____​

Answers

Answer:

the question is incomplete

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