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29 March, 10:05

Assume that y varies inversely

with x. If y = - 6 when x = - 2, find

y when x = 5.

+4
Answers (1)
  1. 29 March, 10:34
    0
    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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