Question

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?

Answer 1

Inverse variation : Inverse variation equation is `n * 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 :. 10*2=20 and n=5 , p=4 :. 5*4=20`

Inverse variation equation is `n * p=20` [Ans]