2019
Mathematics
67ca00ce0c643c71d77dee1f
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 = 9THIS WEEK's
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