A truck can be rented from Company A for $90 a day plus a $0.20 per mile .Company B charges $20 a day plus $0.70 per mile to rent

Question

A truck can be rented from Company A for $90 a day plus a $0.20 per mile .Company B charges $20 a day plus $0.70 per mile to rent the same truck. find the number of miles in a day at which the rental costs for Company A and Company B are the same

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Thu Cúc 3 weeks 2023-01-09T10:47:39+00:00 1 Answer 0 views 0

Answer ( 1 )

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    2023-01-09T10:48:46+00:00
    The number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

    Rental cost

    Let
    • Number of miles = x
    Company A:
    90 + 0.20x
    Company B:
    20 + 0.70x
    • Equate both rental cost
    90 + 0.20x = 20 + 0.70x
    90 – 20 = 0.70x – 0.20x
    70 = 0.50x
    • Divide both sides by 0.50
    x = 70/0.50
    x = 140 miles
    Therefore, the number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles
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