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MATHEMATICS

JAMB 2023 - Question 31

Mathematics 2023 JAMB Past Questions - Question 31: W is inversely proportional to the cube of P and W = 81 when P = 2. Find W when P = 3.

W is inversely proportional to the cube of P and W = 81 when P = 2. Find W when P = 3.

A: 36

B: 27

C: 24

D: 32

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Correct Answer

Explanation

W ∝1/V^3W = k/V^3k = W/V^3k = 81 x 2^3 = 81 x 8When V = 3,W = k/V^3U = 81×8/3^3U = 81×827 = 24