A car rental company has two rental rates. Rate 1 is $\$ 54$ per day plus $\$ 0.18$ per mile. Rate 2 is $\$ 108$ per day plus $\$ 0.09$ 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 58,800 miles
B) More than 14,700 miles
C) More than 4200 miles
D) More than 30,100 miles

Question

Quizplus · Accepted Answer

To find the break-even point where both rates cost the same, set the total cost of each rate equal to each other and solve for the number of miles (m). Rate 1: $54/day * 7 days + $0.18/mile * m = Rate 2: $108/day * 7 days + $0.09/mile * m. Simplifying gives $378 + $0.18m = $756 + $0.09m, leading to $0.09m = $378, so m = 4200 miles. Therefore, to pay less with Rate 2, you need to drive more than 4200 miles.

A Car Rental Company Has Two Rental Rates $54\$ 54$54 Per Day Plus

A Car Rental Company Has Two Rental Rates $\$ 54$ Per Day Plus