Given that p varies as the square of q and q varies inversely as the square root of r. How does p vary with r?

Assessment: WAEC SSCE - General Mathematics - 2003 (Objective) Subject: General Mathematics

Question 1 Report

Given that p varies as the square of q and q varies inversely as the square root of r. How does p vary with r?

Answer Details
We can use the relation p ∝ q^2 and q ∝ 1/√r to find the relation between p and r. Substituting the value of q in terms of r in the relation p ∝ q^2, we get: p ∝ (1/√r)^2 p ∝ 1/r Therefore, p varies inversely as r. So, the answer is: "p varies inversely as r".

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