MATHEMATICS

JAMB 2014 - Question 16

Mathematics 2014 JAMB Past Questions - Question 16: P varies directly as Q and inversely as R .when Q=36 and R=16, P=27.find the relation between P,Q and R.

P varies directly as Q and inversely as R .when Q=36 and R=16, P=27.find the relation between P,Q and R.
A:
B:
C:
D:
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Correct Answer

C

Explanation

If P varies directly as Q and inversely as R, we can express this relationship mathematically as:P = k(Q/R)where k is the constant of variation.To find the value of k, we can use the given information that when Q = 36, R = 16, and P = 27:27 = k(36/16)To simplify the equation, we can divide 36 by 16:27 = k(2.25)Now, we can solve for k by dividing both sides of the equation by 2.25:k = 27 / 2.25k ≈ 12Therefore, the relationship between P, Q, and R is:P = 12(Q/R)