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

C.

Explanation:

is the 3rd picture

Answer 2

Option C is the 3rd picture

see the attached figure

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