Solve the problem.
-A car rental company has two rental rates. Rate 1 is $72 per day plus $.16 per mile. Rate 2 is $144 per day plus $.08 per mile. If you plan to rent for one week, how many miles would you need to Drive to pay less by taking Rate 2?
A)more than 22,050 miles
B)more than 12,600 miles
C)more than 6400 miles
D)more than 6300 miles

Question

Quizplus · Accepted Answer

To find the break-even point where both rates cost the same, we set the total costs equal to each other and solve for the number of miles (m). For one week (7 days), Rate 1 is $72*7 + $0.16m, and Rate 2 is $144*7 + $0.08m. Setting these equal: $504 + $0.16m = $1008 + $0.08m. Simplifying, $0.08m = $504, so m = 6300. Therefore, to pay less with Rate 2, you'd need to drive more than 6300 miles.

Solve the Problem. -A Car Rental Company Has Two Rental Rates. Rate 1