Assume that y varies inversely

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

y when x = 5.

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