Question

M varies inversely as the square of P. If M is 9 when P is 2, then find M when P is 3.

please h e l p

Answer 1

Explanation:

If two quantities are inversely proportional, it means that an increase in the value of one variable would cause a corresponding decrease in the other variable and vice versa.

Given that M varies inversely as the square of P, if we introduce a constant of proportionality, k, the expression becomes

M = k/P²

If M = 9 when P = 2, then

9 = k/2² = k/4

k = 9 × 4 = 36

Therefore, the inverse variation equation is

M = 36/P²

When P = 3,

M = 36/3² = 36/9

M = 4