Question

Which of the following equations is an example of inverse variation between the variables x and y?A.B.y = x + 9C.D.y = 9x

Answer 1

SOLUTION

For an inverse variation, we have that y is inversely proportional to x, written as

$\begin{gathered} y\propto\frac{1}{x} \\ \propto\text{ is a proportionality sign} \end{gathered}$

removing the proportionality sign and introducing a constant k, we have that

$y=\frac{k}{x}$

so, if k is 9,

The answer becomes

$y=\frac{9}{x}$

Option A is the answer