The following table represents the total cost, in dollars (y) to join a gym for x number of months. The cost includes a one-time joining fee of 10$. Does the data in the table represent a proportional relationship? How do you know?
Answers
Answer:
The table does not represent a proportional relationship because the ratio of the y-values to the corresponding x-value at each data point is not constant
y/x ≠ Constant
Step-by-step explanation:
The table of values for the total cost in dollars (y) to join a gym for "x" number of months is presented as follows;
x; 1, 2, 3, 4, 5
y; 25, 40, 55, 70, 85
The rate of change of the data in the table is given by the following formula;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Between the 1st and the 3rd point, we have;
m = (55 - 25)/(3 - 1) = 15
Between the 1st and the 5th point, we have;
m = (85 - 25)/(5 - 1) = 15
Therefore, the rate of change of the y values per unit change of the x-value is 15
Therefore, the "x" and y-values have a linear relationship
However, for a proportional relationship, we have;
y/x = Constant
At the 1st point, we have;
25/1 = 25
At the 3rd point, we have;
55/3 = 18.[tex]\overline 3[/tex]
∴ y/x is not constant and the the data in the table does not represent a proportional relationship.
Related Questions
What is the surface area?
5 yd
3 yd
3 yd
square yards
Answers
Answer:
147 square yards
Step-by-step explanation:
hope this helps:)))
Answer:
78 sq. yards
Step-by-step explanation:
surface area of cuboid =2(lb + bh + lh)
length= 5 yards
breadth=3 yds
height =3yds
=2(5×3+3×3+5×3)
=2(15+9+15)
=78 sq. yards
These two triangles are similar, what does x equal?
Answers
Answer:
2
Step-by-step explanation:
21 divided by 7 is 3 and 14 divided by 7 is 2
we know its 7 because both 14 and 21 can be divided by 7
A grocery store sells an 8 ounce bottle of juice for $1.76 what is the cost of the juice per ounce? Show your work
Answers
Answer:
22 cents
Step-by-step explanation:
8 ounces coat $1.76
So,
1 ounce costs $1.76 divided by 8 = $ 0.22 = 22cents
Hope this helps
If a grocery store sells an 8 ounce bottle of juice for $1.76. The cost of the juice per ounce is: $0.22.
Cost of juice per ounceUsing this formula
Cost of juice per ounce=Cost of juice/Ounce bottle of juice
Where:
Cost of juice=$1.76
Ounce bottle of juice=8 ounce
Let plug in the formula
Cost of juice per ounce=$1.76/8
Cost of juice per ounce=$0.22 per ounce
Inconclusion the cost of the juice per ounce is: $0.22.
Learn more about Cost of juice per ounce here:https://brainly.com/question/1564020
Sean wants to make a beaded necklace 16 1/2 inches long. If each bead is 3/4 in wide how many beads does he need?
Answers
Answer:
22 beads
Step-by-step explanation:
You need to divide 16 1/2 by 3/4.
16 1/2 / 3/4 =
= 33/2 / 3/4
= 33/2 * 4/3
= (33 * 4)/(2 * 3)
= 11 * 2
= 22
Answer: 22 beads
Quick maths question please help
Answers
Answer:
U have to add it all up
10+4+5+8+12=39..
You have to break it up by two
Shape 1 : 10cm x 8cm x 7cm
Shape 2: 4cm x 5cm x 8cm
I wish I can
Work out the probability that the spinner will land on 3
Answers
Answer:
https //ryan group.topper.school/ login
timed, please hurry. thank you !
Answers
a) Complete the table of values for
y = x^2–2x + 5
Answers
Answer:
(-2, 13)
(-1, 8)
(1, 4)
(3, 8)
Step-by-step explanation:
plug in the x values into the given equation to get the y values you need
hope this helps :)
The drama club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $8.00, and bags of cookies cost $2.50, and sales equaled $33.50 in total. There were 5 more bags of cookies than candy sold. Find the number of bags of candy and cookies sold by the drama club
Answers
Answer:
Number of bags of candy = 2
Number of bags of cookies = 7
Step-by-step explanation:
Let, number of bags of candy = X
So, Number of bags of cookies = X + 5
Cost of candy bag = $8
Cost of cookies bag = $2.5
Total sales = $33.50
So, Total cost of Candy Bags + Total cost of cookies bags = Total sales
= 8X + 2.5 ( X +5) = 33.50
= 8X + 2.5X + 12.5 = 33.50
= 10.5X = 33.50 - 12.5
= 10.5X = 21
X = 2
So, number of bags of candy = 2
Number of bags of cookies = 2 + 5 = 7
sorry for the color yellow
Answers
Answer:
I believe it's the first option.
I got stuck on a question on edge can anyone help?
Answers
Answer:
A and D
Step-by-step explanation:
How do you write 1/9 as a decimal?
Answers
Answer:
0.111111111
Step-by-step explanation:
Answer:
0.11
Step-by-step explanation:
The ones are never-ending so if you round it, it is 0.11
A car dealership decreased the price of a certain car by 14%. The original price was $47,400.
(a) Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal.
New price = Ï Original price
(b) Use your answer in part (a) to determine the new price.
New price: $]
Answers
Answer:
Original Price = $47,400
New Price= $47400*86/100= $40 764
A hamster wheel has a 7-in. diameter. How many feet will a hamster travel in 100 revolutions of the wheel
Answers
Explain why you think manufacturers frequently package their products in tall boxes, bottles, or cans
I NEED THE ANSWER ASAP
Answers
Answer:
So that it is safe from insects. insects cant open large boxes bottles or a steel can.
Why manufacturers frequently package their products in tall boxes, bottles, or cans is: To protect the product.
Product packaging?Food packaging is important as it help to protect a product and to as well prevent the product from damaging when been shipped from the seller to buyer.
Manufacturer or producer tend to package their product so as to keep the product safe and to as improve the product Shelf Life etc.
Therefore why manufacturers frequently package their products in tall boxes, bottles, or cans is: To protect the product.
Learn more about product packaging here:https://brainly.com/question/14500837
#SPJ2
Plzz help will mark brainliest don't do it for the points plzz!!!!
The answer choices for the first box is 1/2 and 2
The answer choices for the second box is clockwise and counterclockwise
Answers
Answer:
Your answer is below
Step-by-step explanation:
A dilation by a scale factor of 2 and a rotation of 270 clockwise maps triangle 1 to 3.
hope it helps! have a nice day :)
What is the area? I will give 30 points
Answers
Answer:
35
Step-by-step explanation:
Answer:
Wouldn't the area be 42?
Find the volume of the cylinder in terms of x and to the nearest tenth
Answers
Answer:
12.57 in^3
Step-by-step explanation:
The easiest way to do this is to find the area of the circle surface and multiply it by the height
to find area the formula is pi r^2 and we are given the radius
so we plug in pi(2^2)=pi(4)= roughly 12.57
then we multiply the area by the height which is 1 so it would be the same
12.57(1)=12.57
Help pleaseeeeee thank you please don’t answer if you don’t know
Answers
Explanation:
Multiply 14 by each side to get rid of it
14•14 cancel out
Then multiply 11•14 = 154
Bring down the Z
Therefore z=154
Brainly please
A kayaker traveled 4 5/6 miles during the first hour, and 1 1/3 miles more then the next hour. How far did he travel in 2 hours
Answers
Answer:
11 miles
Step-by-step explanation:
Given that :
Distance traveled in first hour = 4 5/6 miles
Distance traveled in the next hour = 4 5/6 + 1 1/3
Therefore, the total distance traveled in 2 hours equals :
4 5/6 miles + (4 5/6 miles + 1 1/3 miles)
29/6 + 29/6 + 4/3
L. C. M of denominator = 6
(29 + 29 + 8) / 6
= 66 / 6 miles
= 11 miles
Distance traveled in 2 hours =. 11 miles
From a group of 11 people, you randomly select 2 of them. What is the probability that they are the 2 oldest people in the group? Give your answer as a fraction.
Answers
Answer:
2/11
Step-by-step explanation:
Probability is the LIKELIHOOD of an event.
According to the word problem, there are 11 people in total and 2 of them are being selected.
The probability of them being the 2 oldest people is 2 in 11, or 2/11.
A bouncy ball is dropped such that the height of its first bounce is 3.75 feet and each
successive bounce is 77% of the previous bounce's height. What would be the height
of the 12th bounce of the ball? Round to the nearest tenth (if necessary).
Answers
Answer:
0.4 ft
Step-by-step explanation:
Each ball that drops decreases, therefore giving you a product of 0.4ft
Answer:0.2
Step-by-step explanation:
linear regression equation y=-0.4x+16.3
Answers
Answer:
15.9=y
Step-by-step explanation:
-0.4+16.3
yw if I'm wrong then I'll try to figure it out again
Please help me answer this have a good day
Answers
Answer:
D
Step-by-step explanation:
The other option you are able to purchase the TV now or later but it says NOT an option for Mr.Lloyd
Hope this helps :)
plz mark brainly
help me with this answer plzzz
Answers
6:5= 1.2
25•1.2=30cm²
Answer 30cm²
A manufacturer claims that its new hand sanitizer reduces the number of days an average person is sick in a year. To test this claim, a researcher decided to conduct an experiment. The researcher randomly selected 300 people, divided into subject groups by age. Over the course of a year, all the subjects regularly used the hand sanitizer. At the end of the year, the researcher compared the number of days that the subjects in each group were sick.
Which statements about this experiment are true?
Answers
Answer:
The study uses blocking and random sampling.
Step-by-step explanation:
The statement with respect to the experiment should be true is that The study uses blocking and random sampling.
What is random sampling?It should be the part of the technique related to sampling where each and every sample should contain equivalent probability of being selected. The sample that should be selected on random basis should be mean to be non-biased with respect to the total population.
hence, The statement with respect to the experiment should be true is that The study uses blocking and random sampling.
Learn more about experiment here: https://brainly.com/question/9882283
_________________ please help!!!!!!!
Answers
Answer:
The answer would be C)5
Step-by-step explanation:
The unknown triangle is half of the size of the original triangle, The right side measurement basically hints to the actual answer.
Help with these 2 questions please
Answers
Answer:
Step-by-step explanation:
Surface area of the triangular prism = 2B + ph
B is the base area = 11 * 14
B = 154 sq. cm
p is the perimeter of the base =
What is the square root pf 49284?
Answers
Answer:
222
Step-by-step explanation:
It's not exactly easy to compute by hand. One method is to start by guessing and increase/decrease. Other is to use the group by two method: https://sciencing.com/calculate-square-root-hand-5081134.html
5/11 as a equivalent fraction
Answers
Answer: there are many equvialent fractions for 5/11 so heres a few
Step-by-step explanation: 5/11, 10/22, 15/33, 20/44, 25/55, 30/66, 35/77, 40/88, 45/99, 50/110, 55/121, 60/132, 65/143, 70/154, 75/165, 80/176, 85/187, 90/198, 95/209, 100/220