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6 December, 14:16

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

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Answers (1)
  1. 6 December, 14:27
    0
    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)
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