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

Answer:

$y = 0.42x+55$

Step-by-step 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)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{142.78 - 112.96}{209 - 138}$

$m = \frac{29.82}{71}$

$m = 0.42$

The equation is calculated using:

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

So, we have:

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

$y = 0.42x - 57.96 + 112.96$

$y = 0.42x+55$