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

1 Answer
Alan P.
Jul 15, 2015

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#

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