Question

If p and q vary inversely and p is 18 when q is 9, determine q when p is equal to 2.

Answer 1

We know that p and q are inversely proportional.

This means that if p goes up, q goes down in the same proportion.

Now, notice that if p goes from 18 to 2, it means that it was divided by 9

`(18)/(9)=2`

Since q is inversely proportional, we have to multiply the original value by 9:

`q=9\cdot9=81`

This way, we get that q is 81 when p is 2