Final answer:
The number of miles driven with the car rental was 400 miles. The three consecutive even test scores were 90, 92, and 94, summing up to 276.
Step-by-step explanation:
Car Rental Company Charges
To find out how many miles you drove using the car rental service that charges a daily rate of $37 plus $0.10 per mile, we set up and solve an equation. First, subtract the daily rate from the total bill to find out how much was spent on miles alone. If your total bill was $77, then:
$77 - $37 = $40
This means you spent $40 on miles, which at $0.10 per mile gives us:
Total Miles = Total Cost for Miles / Cost Per Mile
Total Miles = $40 / $0.10 per mile
Total Miles = 400 miles
Algebra Test Scores
Three consecutive even integers can be expressed as n, n+2, n+4, where n is the smallest even integer. Their sum is given to be 276, so:
n + (n + 2) + (n + 4) = 276
3n + 6 = 276
3n = 270
n = 90