Question 16
VariationIf p varies inversely as the square of q and p = 8 when q = 4, find q when p = 32.
- A.±16
- B.±8
- C.±4
- D.±2
Show the answer and explanation
Answer: D (±2)
Explanation
p = k/q2: k = 8 × 16 = 128. Then q2 = 128/32 = 4, so q = ±2.
If p varies inversely as the square of q and p = 8 when q = 4, find q when p = 32.
Answer: D (±2)
p = k/q2: k = 8 × 16 = 128. Then q2 = 128/32 = 4, so q = ±2.