Question

Marla is driving a remote control boat at the carnival. She puts quarters into a machine to get more minutes of driving time. Which table shows a proportional relationship between the number of quarters and the number of minutes?
A is the 1st picture

B is the 2nd picture

C is the 3rd picture

D is the 4th picture

Answer 1

Answer:

Option C is the 3rd picture

see the attached figure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Let

x ----> the number of quarters

y ----> the number of minutes

we know that

$k=y/x$

Verify each table

First table

For x=1, y=5 ----> $k=5/1=5$

For x=3, y=7 ----> $k=7/3=2.3$

For x=5, y=10 ----> $k=10/5=2$

The values of k are different

therefore

This table not shows a proportional relationship between the number of quarters and the number of minutes

Second table

For x=2, y=5 ----> $k=5/2=2.5$

For x=3, y=8 ----> $k=8/3=2.7$

For x=4, y=16 ----> $k=16/4=4$

The values of k are different

therefore

This table not shows a proportional relationship between the number of quarters and the number of minutes

Third table

For x=2, y=10 ----> $k=10/2=5$

For x=5, y=25 ----> $k=25/5=5$

For x=7, y=35 ----> $k=35/7=5$

The value of k=5

therefore

This table shows a proportional relationship between the number of quarters and the number of minutes

Fourth table

For x=4, y=8 ----> $k=8/4=2$

For x=8, y=18 ----> $k=18/8=2.25$

For x=12, y=28 ----> $k=28/12=2.3$

The values of k are different

therefore

This table not shows a proportional relationship between the number of quarters and the number of minutes