Question

If p is directly proportional to q, and p =9 when q = 7.5, how do you find q when p =24?

Answer 1

Calculate the proportional constant and then evaluate using this constant for `p=24` to get `q=20`

Explanation:

If `p` is directly proportional to `q`
then
`color(white)("XXXX")` `q = c*p` for some constant `c`

We are told
`color(white)("XXXX")` `7.5 = c*9`
So
`color(white)("XXXX")` `c = (7.5)/9 = 5/6`

and when `p=24`
`color(white)("XXXX")`q = 5/6*24 = 20#