Assume that y varies inversely with x. If y = -6 when x = -2, find y when x = 5.

Question

Assume that y varies inversely
with x. If y = -6 when x = -2, find
y when x = 5.

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Ayla 1 month 2021-10-14T23:53:25+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-14T23:54:55+00:00

    Answer:

    y = 2.4

    Step-by-step explanation:

    If y varies inversely as x, it means there’s an inverse relationship between y and x, that is if x is increasing, y is decreasing and vice versa. In such instance, we have to find the constant of proportionality “k”

    Hence,

    y~1/x

    y=k/x

    When y =-6 and x =-2, we insert these values to find the value of the constant “k”

    -6 = k/-2

    k = 12.

    Using this value of k to determine value of y when x =5 becomes:

    y = 12/5

    y = 2.4

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