Question

17. Ace Rent a Car charges a flat fee of $15 and $0.23 a mile for their cars. Acme Rent a Car

charges a flat fee of $24 and $0.15 a mile for their cars. Use the following model to find out
after how many miles Ace Rent a Car becomes more expensive than Acme Rent a Car,
c = 15 + 0.23m Ace
c = 24 + 0.15m Acme
A( after 133 miles
B( never
C(after 113 miles
D(after 103 miles

Answer 1

113 miles

Explanation:

given the 2 equations that define the cost c for each company based on the number of miles, m driven

Ace: c = 15 + 0.23m

Acme : c = 24 + 0.15m

we want to find m when c is the same

hence we can equate both equations

15 + 0.23m = 24 + 0.15m

0.23m - 0.15m = 24 - 15

0.08m = 9

m = 9/0.08

m = 112.5 ( ~=113 miles)