Problema Solution

If I varies inversely as r+2, and I=9 when r=3, find r when I=8.

Answer provided by our tutors

I varies inversely with r+2 if there is a constant k such that


I = k/(r+2)


I = 9 when r=3 that is


9 = k/(3+2)


K = 9*(3+2)


k = 45


thus we have I = 45/(r+2)


when I = 8 we will have


45/(r+2) = 8


r+2 = 45/8


r = 45/8 - 2


r = 29/8


r = 3.625