a truck rental company charges a flat rate of $22.50 for the rental and $2.50 for every mile driven. brandon…

a truck rental company charges a flat rate of $22.50 for the rental and $2.50 for every mile driven. brandon was charged $142.50 before taxes for a truck rental from this company. how many miles did brandon drive the truck? (a) 30 (b) 35 (c) 48 (d) 66

a truck rental company charges a flat rate of $22.50 for the rental and $2.50 for every mile driven. brandon was charged $142.50 before taxes for a truck rental from this company. how many miles did brandon drive the truck? (a) 30 (b) 35 (c) 48 (d) 66

Answer

Explanation:

Step1: Subtract flat - rate from total cost

Let $x$ be the number of miles driven. The total cost formula is $C = 22.50+2.50x$. We first subtract the flat - rate from the total cost. So, $142.50 - 22.50=120$.

Step2: Calculate number of miles

We know that the remaining cost $120$ is due to the per - mile charge of $2.50$ per mile. So, $x=\frac{120}{2.50}=48$.

Answer:

C. 48