Question

Show that, two quantities are said to be in inverse variation if their product is a constant.

Answer 1

Step-by-step explanation:

if A varies inversely as B,

we write A ∝ 1/B

ie., A = m ∙ (1/B)

=> AB = m , where’m (≠ 0), which is the constant of variation.

Hence, if one variable varies inversely as another, then the product of the corresponding values of the variables is constant.