Suppose that y varies inversely with x. Given x =-3 when y = 8. Find Y when x = 4.

when x = 4, y = - 6

Step-by-step explanation:

First, the expression for the statement y varies inversely with x, can be written as:

y ∝ , and this can also be written in an equation form as:

where k = proportionality constant relating x and y.

Next we are told that: x =-3 when y = 8. and this can be written as:

finding the value of k, we cross-multiply to obtain the following:

k = -3 × 8 = -24

Finally, finding y when x = 4;

 where k = -24

∴

Therefore, when x = 4, y = - 6

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