Solve the problem.
-A car rental company has two rental rates. Rate 1 is $42 per day plus $.14 per mile. Rate 2 is $84 per day plus $.07 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 4200 miles
B)more than 30,100 miles
C)more than 58,800 miles
D)more than 14,700 miles

Question

Quizplus · Accepted Answer

To find the break-even point where both rates cost the same, set the total costs equal to each other and solve for the number of miles (m). Rate 1 for a week (7 days) is $42*7 + $0.14m, and Rate 2 is $84*7 + $0.07m. Setting them equal: $294 + $0.14m = $588 + $0.07m. Solving for m gives m > 4200 miles.

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