# How do you determine whether the situation is an example of an inverse or direct variation: the drama club can afford to purchase 10 wigs at $2 each or 5 wigs at$4 each?

Jul 20, 2018

Inverse variation : Inverse variation equation is $n \cdot p = 20$

#### Explanation:

Inverse variation : Here price per wig (p) increases , quantity of

wigs (n) decreases as the total amount (k=20) remains constant.

 n prop 1/p or n=k/p or n * p = k ; k=20 or n * p=20# , when

$n = 10 , p = 2 \therefore 10 \cdot 2 = 20 \mathmr{and} n = 5 , p = 4 \therefore 5 \cdot 4 = 20$

Inverse variation equation is $n \cdot p = 20$ [Ans]