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

Question

Mathematics

Riley Sellers

5 May, 11:06

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

+2

Answers (1)

Know the Answer?

Keyla Barrett · Answer 1

113 miles

Step-by-step 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)