Question

Ace Rent a Car charges a flat fee of $15 and $0.24 a mile for their cars. Acme Rent a Car charges a flat fee of $30 and $0.16 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, [15 + 0.24m , {Ace} = 30 + 0.16m , {Acme}.]

a) 40 miles
b) 60 miles
c) 80 miles
d) 100 miles

Answer 1

Ace Rent a Car becomes more expensive than Acme Rent a Car after 188 miles.

Step-by-step explanation:

To find out after how many miles Ace Rent a Car becomes more expensive than Acme Rent a Car, we need to set up an equation and solve for the value of m when Ace Rent a Car's cost is greater than Acme Rent a Car's cost.

Given:

• Ace Rent a Car charges a flat fee of $15 and $0.24 a mile: 15 + 0.24m
• Acme Rent a Car charges a flat fee of $30 and $0.16 a mile: 30 + 0.16m

Set up the equation:

15 + 0.24m > 30 + 0.16m

Solve for m:

0.24m - 0.16m > 30 - 15

0.08m > 15

m > 15/0.08

m > 187.5

Therefore, Ace Rent a Car becomes more expensive than Acme Rent a Car after 188 miles.