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A clogged bathtub drains at a constant rate. The amount of water in the bathtub changes by - 3.75 gallons in one hour. What is the change in the amount of water in the bathtub after 13 hour?

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  1. 4 May, 02:35
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    Change in the amount of water in the bathtub after - 48.75 gallons. Negative sign means water get reduce by 48.75 gallons in bathtub.

    Solution:

    Given that

    A clogged bathtub drains at a constant rate.

    The amount of water in the bathtub changes by - 3.75 gallons in one hour.

    Need to determine change in the amount of water in the bathtub after 13 hour.

    Change in amount of water in bathtub in one hour = - 3.75 gallons

    As given that clogged bathtub drains at a constant rate, so

    Change in amount of water in bathtub in 13 hours = 13 x Change in amount of water in bathtub in 1 hours

    => Change in amount of water in bathtub in 13 hours = 13 x (-3.75) = - 48.75 gallons

    Hence change in the amount of water in the bathtub after - 48.75 gallons. Negative sign means water get reduce by 48.75 gallons in bathtub.
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