Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x=16… y=7 wh

Question

Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x=16…
y=7 when x=2

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Đan Thu 5 years 2021-08-06T19:14:02+00:00 2 Answers 20 views 0

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    0
    2021-08-06T19:15:29+00:00

    The formula for direct variation is y = kx

    Using the known x and y solve for k:

    7 = k2

    Divide both sides by 2:

    k =7/2 = 3.5

    Now solve for y when x = 16:

    y = 3.5(16)

    y = 56

    0
    2021-08-06T19:15:32+00:00

    Step-by-step explanation:

    y = kx, where k is a real constant.

    When x = 2, y = 7.

    => (7) = k(2), 2k = 7, k = 3.5.

    Therefore when x = 16,

    y = (3.5)(16) = 56.

    The value of y is 56 when x is 16.

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