Question

2. Suppose that y varies inversely with x. Write an equation for the inverse variation.

y = 4 when x = 7
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Answer 1

`y=(28)/(x)`

Explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
`y*x=k` or
`y=k/x`

we have

y = 4 when x = 7

Find the value of the constant of proportionality k

`k=y*x`

substitute

`k=(4)(7)=28`

therefore

The equation for the inverse variation is equal to

`y=(28)/(x)`