Luis is filling his half-empty swimming pool with water at a rate of 220 gallons per hour. After 33 hours the pool contains 855 gallons of w

Question

Luis is filling his half-empty swimming pool with water at a rate of 220 gallons per hour. After 33 hours the pool contains 855 gallons of water. What is the equation in point-slope form that relates the amount of water in the pool, y, to the number of hours, x, that Luis has been filling the pool?

What is the equation in standard form?

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Thu Thủy 3 years 2021-08-18T15:32:16+00:00 1 Answers 1 views 0

Answers ( )

  1. MichaelMet
    0
    2021-08-18T15:33:43+00:00
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    Answer:

    y - 220x = -6405

    Step-by-step explanation:

    Given

    Rate = 220

    At time = 33\ hours, gallons = 855

    Required

    Determine the equation

    The rate means slope (m).

    So:

    m = 220

    From the question, x represents time and y represents the amount of water.

    So:

    x=33 when y = 855

    Or:

    (x_1,y_1) = (33,855)

    The equation is determined using:

    y - y_1 = m(x - x_1)

    This gives:

    y - 855 = 220(x - 33)

    y - 855 = 220x - 7260

    Collect Like Terms

    y - 220x = 855 - 7260

    y - 220x = -6405

    Hence, the equation in standard form is:

    y - 220x = -6405

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