Question

Chris rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 78 cents for each mile driven. Chris had to pay $249.21when he returned the truck. For how many miles did he drive the truck?

Answer 1

299 miles

Step-by-step explanation:

Base Fee for the truck = $15.99

Charge per mile driven = 78 cents =$0.78

Let the number of miles driven = x

Therefore, for x miles, Chris would be expected to pay a total charge, C defined by the equation below:

`C=15.99+0.78x`

If Chris had to pay $249.21 when he returned the truck, it means that:

His total charge, C = $249.21

`\begin{gathered} $249.21$=15.99+0.78x \\ 0.78x=$249.21$-15.99 \\ 0.78x=233.22 \\ \text{Divide both sides by 0.78} \\ x=299 \end{gathered}`

We conclude therefore that Chris drove the truck for 299 miles.