The cost to rent a moving van is $23 plus as a additional $7 per hour. For $37, what is the maximum amount of time that a moving van can be

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The cost to rent a moving van is $23 plus as a additional $7 per hour. For $37, what is the maximum amount of time that a moving van can be rented for?

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Hải Đăng 1 year 2021-09-05T02:51:07+00:00 1 Answers 6 views 0

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    2021-09-05T02:52:37+00:00

    Given:

    Fixed cost to rent a moving van = $23

    Additional cost = $7 per hour.

    To find:

    For $37, the maximum amount of time that a moving van can be rented for.

    Solution:

    Let the moving van be rented of t hours.

    Total cost = Fixed cost + Additional cost

    [tex]\text{Total cost}=23+7t[/tex]

    For $37, the total cost should be less than 37.

    [tex]23+7t\leq 37[/tex]

    [tex]7t\leq 37-23[/tex]

    [tex]7t\leq 14[/tex]

    Divide both sides by 2.

    [tex]t\leq 2[/tex]

    Since maximum value of t is 2, therefore the moving van can be rented for maximum 2 hours.

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