Math

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Company Alpha rents a compact car for $20 per day plus $0.09 per mile. Company Beta rents the same type of car for $29.5 per day plus $0.04 per mile. Suppose you want to rent a car from company Alpha for 5 days. How many miles can you drive the
car before it becomes more expensive than renting from Beta?

  • Math -

    Alpha cost = 100 + .09 x
    Beta cost = 147.50 + .04 x
    so when is
    100 + .09 x = 147.50 + .04 x

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