The water level in a pool is currently at 1/2 of an inch. Every hour, the water level increases 4.75 inches. How many hours will it take the

Question

The water level in a pool is currently at 1/2 of an inch. Every hour, the water level increases 4.75 inches. How many hours will it take the water level to reach 33.75 inches?

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Cherry 5 months 2021-08-18T11:58:30+00:00 1 Answers 1 views 0

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    2021-08-18T12:00:17+00:00

    Answer:

    7.1 hours

    Step-by-step explanation:

    Given data

    Let the number of hours taken to fill the pool be x

    the current quantity is 1/2 the capacity of the pool

    we are given that the rate of flow = 4.75 in per hour

    let the total amount of water after x hours be y, the expression for the quantity of water is given as

    y= 0.5+4.75x

    if y= 33.75 in, let us find x

    33.75= 0.5+4.75x\\\\33.75-0.5= 4.75x\\\\33.25= 4.75x\\\\

    divide both sides by 4.75

    x= 33.75/4.75\\\\x= 7.10

    Hence, it will take 7.1 hours

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