Final answer:
Eric rented a truck with a base fee and an additional charge per mile. By setting up an equation to account for these charges and the total cost paid upon the truck's return, we calculated that Eric drove the truck for a total of 189 miles.
Step-by-step explanation:
The student is trying to determine how many miles Eric drove when he rented a truck. To find this, we can set up an equation reflecting the costs involved with renting the truck. The total cost is a combination of the base fee and the additional charge per mile driven.
Let m represent the number of miles Eric drove. The equation will be:
Base fee + (Charge per mile × Number of miles driven) = Total cost
$15.95 + ($0.90 × m) = $186.05
To solve for m, we subtract the base fee from the total cost:
$186.05 - $15.95 = $0.90 × m
Then we divide by the charge per mile:
(($186.05 - $15.95) / $0.90) = m
m = 189
Therefore, Eric drove for 189 miles.