Final answer:
To calculate how many miles Abdul drove, subtract the base fee from the total cost and then divide by the price per mile, which reveals an answer that exceeds the given choices, indicating an error in the question.
Step-by-step explanation:
The student asked how many miles Abdul drove the truck based on the total cost of the rental and the fees associated with the miles driven. To solve this, we use a simple algebraic equation. First, subtract the base fee of $16.95 from the total cost of $278.61 to find out how much was paid for the miles driven alone. This gives us $261.66 paid for the mileage charge. Next, divide this amount by the cost per mile, which is 98 cents or $0.98, to find the number of miles driven.
The calculation for the number of miles driven is:
-
- Subtract the base fee: $278.61 - $16.95 = $261.66
-
- Divide by the cost per mile: $261.66 / $0.98 ≈ 267 miles
Since the answers available are 260 miles, 260.5 miles, 261 miles, and 261.5 miles, all of which are less than 267 miles, it's clear that there is a typo in both the question and choices given. Abdul must have driven more than any of the choices listed; therefore, there is likely an error in the question.