Question

Marla has a pet hamster. The hamster makes 3 laps around her cage every minute.

What line represents the situation?

Line a

Line b

Line c

Line d

Answer 1

Find the line that goes up three for every one to the right it goes. B is the line that fits the equation.

Answer 2

Let

x-------> the time in minutes

y------> the number of laps

we know that

In this problem the linear equation represent a direct variation and the slope is equal to

`m=3(laps)/(minute)`

so

the equation of the line is

`y=3x`

For
`x=1\ minute`

the value of y is equal to

`y=3*1=3\ laps`

Plot the point
`(1,3)` in the graph

therefore

the answer is

The solution is the line b

see the attached figure to better understand the problem