Final answer:
The agency's fee per mile is calculated by dividing the amount paid by the miles driven for each person, resulting in approximately $0.15 per mile for both scenarios.
Step-by-step explanation:
To determine the agency's fee per mile, we need to divide the total amount paid by the total miles driven for each person and then compare the results to ensure they match (since they should be the same rate per mile).
For the first person: $47.25 for 315 miles.
For the second person: $78.45 for 523 miles.
To find the fee per mile for the first person, we perform the following calculation:
Fee per mile = Total paid / Total miles driven
Fee per mile = $47.25 / 315 miles
Fee per mile ≈ $0.15/mile
For the second person, we perform a similar calculation:
Fee per mile = $78.45 / 523 miles
Fee per mile ≈ $0.15/mile
Both calculations result in approximately the same fee per mile, confirming the rate charged by the agency.