Y is inversely proportional to x, when Y = 7, x = 4. True or False: the constant of proportionality, k, is 20.

Question

Y is inversely proportional to x, when Y = 7, x = 4.
True or False: the constant of proportionality, k, is 20.

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Thông Đạt 4 years 2021-08-25T05:20:08+00:00 1 Answers 15 views 0

Answers ( )

  1. ngocdiep
    0
    2021-08-25T05:22:03+00:00
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    Answer:

    The given statement  Y = 7, x = 4 is False.

    Step-by-step explanation:

    We are given:

    Y is inversely proportional to x, when Y = 7, x = 4.

    We need to tell if the statement is True or False: the constant of proportionality, k, is 20.

    Y is inversely proportional to x

    We can write it as: y\:\alpha \:\frac{1}{x}\\y=\frac{k}{x}

    Now, we need to check when Y=7, x = 4 is true or false

    We are given k = 20

    Now, I can find value of y, by putting values of k and x in the equation:

    y=\frac{k}{x}\\y=\frac{20}{4}\\y=5

    When we put x = 4, and k =20, we get Y=5 and not Y=7

    So, The given statement  Y = 7, x = 4 is False.

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