Question

Three variables p,q, and r are such that p varies directly as q and inversly as the square of r.(a)when p =9,q=12 and r=5.
(b)express q in terms of p and r.
(c)if p is increased by 10% and r decreased by 10%,find;
(1)a simplified expression for the change in q in terms of p and r.
(2)the percantage change in q
p = kq/r^2
(a) plug in your values to find k
(c) q = pr^2/k
replacing p by 1.1p and r by -.9r, we have a new q, which is
q' = (1.1p)(0.9r)^2/k = (1.1 * 0.81) pr^2/k = 0.891q
now just figure the % change q'/q - 1

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