Michael rented a truck for one day. There was a base fee of $20.99, and there was an additional charge of 85 cents for each mile driven. Michael had to pay$134.89 when he returned the truck. For how many miles did he drive the truck?

Respuesta :

Let the number of miles Michael drove the truck be m.

Then, the cost of the drive is given by the expression,

[tex]20.99+0.85m[/tex]

The actual cost is given as $134.89

Hence, we must have that

[tex]\begin{gathered} 20.99+0.85m=134.89 \\ \text{ Subtracting 20.99 from both sides we have} \\ 0.85m=113.9 \\ \text{ Dividing both sides by 0.85 we have} \\ m=\frac{113.9}{0.85}=134 \end{gathered}[/tex]

Thus the number of miles is 134 miles