Question

P is inversely proportional to Q. If P = 24 when Q = 3, then write the inverse variation equation that relates P and Q.

Answer 1

Inverse proportionality is when the value of one quantity increases with respect to a decrease in another, they behave opposite in nature.

It is represented by the following expression:

`P=(k)/(Q)`

Since P=24 when Q=3, we can substitute and solve for the constant k:

`\begin{gathered} 24=(k)/(3) \\ k=24\cdot3 \\ k=72 \end{gathered}`

Then, the equation that represents the inverse variation would be:

`P=(72)/(Q)`