Question

Which of the following equations is an example of inverse variation between

the variables x and y?
A. Y=x+5
B. Y=5x
C. Y=5/x
D. Y=x/5

Answer 1

C. Y=5/x

Explanation:

Inverse variation is given by

xy = k where k is a constant

Divide each side by x

xy/x = k/x

y = k/x where k is a constant

Let k=5

y = 5/x is an equation that is inverse variation

Answer 2

`\bf \qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ k=5\qquad \qquad y=\cfrac{5}{x}`