Given that p varies directly as q while q varies inversely as r, which of the following statements is true?

Assessment: WAEC SSCE - General Mathematics - 2000 (Objective) Subject: General Mathematics

Question 1 Report

Given that p varies directly as q while q varies inversely as r, which of the following statements is true?
Answer Details
The statement "p varies inversely as r" is true. This means that as r increases, p decreases, and as r decreases, p increases. We know that p varies directly as q, so as q increases, p increases, and as q decreases, p decreases. Combining these two statements, we can say that as q increases, r decreases, and as q decreases, r increases. Therefore, p and r have an inverse relationship, meaning that p varies inversely as r. The other options are not true based on the information given.

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