Question

A truck rental company rents a moving truck One Day by charging $39 + 0.09 per mile write a linear equation that relates the cost c in dollars of renting the truck to the number x of miles driven and what is the cost of renting the truck if the truck is driven 160 MI

Answer 1

`(a)\ c(x) = 39 + 0.09 x`

`(b)\ \$53.4`

Explanation:

Given

`Base\ Charge = \$39`

`Rate = 0.09` per mile

Solving (a): Linear Equation

The total charges (c(x)) is: the base charge + the rate * number of miles (x).

So, we have:

`c(x)= 39 + 0.09 * x`

`c(x) = 39 + 0.09 x`

Solving (b): Cost of rent, if miles = 160

This implies that x = 160

So, we have:

`c(x) = 39 + 0.09 x`

`c(160) = 39 + 0.09 *160`

`c(160) = 39 + 14.4`

`c(160) = 53.4`