Question

The table represents the total miles traveled, y, after a number of hours, x.

What linear equation would represent this situation?

Answer 1

60x=y

To find this answer, find what y/x=m would be for m
150/2.5=60
240/4= 60
330/5.5=60
420/7=60

Answer 2

`y=60 x`

Explanation:

We are given that

`x_1=2.5`

`y_1=150`

`x_2=4.0`

`y_2=240`

Slope formula:
`m=(y_2-y_1)/(x_2-x_1)`

Using the formula

Slope :
`m=(240-150)/(4-2.5)=60`

Point- slope equation:

`y-y_1=m(x-x_1)`

Using the formula

The linear equation of the given situation is given by

`y-150=60(x-2.5)`

`y-150=60x-150`

`y=60x-150+150`

`y=60 x`