passpadi

2019

Mathematics

JAMB

If P varies inversely as the square root of q, where p = 3 and q = 16, find the value of q when p = 4.

A.

12

B.

8

C.

9

D.

16

Correct Answer: 9

Explanation

p ∝ 1/√q ⟹ p = k √q when p = 3, q = 16. 3=k√16 k = 3 × 4 = 12 ∴ p = 12 /√q when p = 4, 4=12/√q ⟹ √q = 12/4 √q = 3 ⟹ q = 32 q = 9

p ∝ 1/√q ⟹ p = k √q when p = 3, q = 16. 3=k√16 k = 3 × 4 = 12 ∴ p = 12 /√q when p = 4, 4=12/√q ⟹ √q = 12/4 √q = 3 ⟹ q = 32 q = 9
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