Question

Goran rented a truck for one day. There was a base fee of $20.99, and there was an additional charge of 92 cents for each mile driven. Goran had to pay $252.82 when he returned the truck. For how many miles did he drive the truck?

Answer 1

Let x be the miles driven, and y be the cost, then we can write the following relationship:

`y=0.92x+20.99`

In our case, we know that the final cost was y=252.82 and we need to find the miles given by x, then, we have

`252.82=0.92x+20.99`

By moving 20.99 to the left hand side, we have

`\begin{gathered} 252.82-20.99=0.92x \\ 231.83=0.92x \end{gathered}`

then, x is given by

`\begin{gathered} x=(231.83)/(0.92) \\ x=251.98\text{ miles} \end{gathered}`

then, the answer is 251.98 miles