If m proportional to n and m=5 when n=4. what is the valuue of m? when n=18

m=22.5

Step-by-step explanation:

m is proportional to n means there is some constant k such that:

m=kn

If m=5 when n=4 then we have the following equation to solve for our constant k:

5=k (4)

5=4k

Divide both sides by 4:

5/4 = k

So k=5/4 no matter what (m, n) pair they give you where the equation is m=kn.

m = (5/4) n

What is m when n=18?

m = (5/4) (18)

m = (5/2) (9)

m=45/2

m=22.5