Question

TIME REMAINING

54:56
Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob’s cost for his truck was $112.96 for 138 miles. Carl’s cost for his truck was $142.78 for 209 miles. Which equation can be used to represent the cost of the rental truck?

Round to the nearest hundredth if necessary.
y = 71 x minus 29.82
y = 25 x minus 66
y = 0.42 x + 71
y = 0.42 x + 55

Answer 1

`y = 0.42x+55`

Explanation:

Given

Let:

`x \to miles`

`y \to amount`

`(x_1,y_1) = (138,112.96)` ---- Bobs'

`(x_2,y_2) = (209,142.78)` --- Carl

Required

The equation

First, calculate the slope (m)

`m = (y_2 - y_1)/(x_2 - x_1)`

`m = (142.78 - 112.96)/(209 - 138)`

`m = (29.82)/(71)`

`m = 0.42`

The equation is calculated using:

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

So, we have:

`y = 0.42(x - 138) + 112.96`

`y = 0.42x - 57.96 + 112.96`

`y = 0.42x+55`