A truck can be rented from Company A for $60 a day plus $0.30 per mile. Company B charges $30 a day plus $0.40 per mile to rent

Question

A truck can be rented from Company A for $60 a day plus $0.30 per mile. Company B charges $30 a day plus $0.40 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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Thanh Thu 2 months 2021-07-19T08:30:01+00:00 1 Answers 1 views 0

Answers ( )

    0
    2021-07-19T08:31:58+00:00

    Answer:

    300 miles

    Step-by-step explanation:

    The total cost function for Company A is C(x) = $60 + ($0.30/mi)x.

    That for Company B is C2(x) = $30 + ($0.40/mi)x

    To answer this question, we equate C(x) and C2(x):

    $60 + ($0.30/mi)x = $30 + ($0.40/mi)x

    Combining the  terms, we get:

    $60  = $30 + ($0.10/mi)x

    Next we combine the constant terms, obtaining:

    $30 = ($0.10/mi)x

    This works out to x = 300 miles

    The number of miles in a day at which the rental costs for  Company A and Company B are the same is thus x = 300 miles

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