Question 15
VariationIf r varies inversely as the square root of s and t, how does s vary with r and t?
- A.s varies directly as r2 and t2.
- B.s varies directly as r and t.
- C.s varies inversely as r and t2.
- D.s varies inversely as r2 and t.
Show the answer and explanation
Answer: D (s varies inversely as r2 and t.)
Explanation
r = k/√(st), so r2 = k2/(st) and s = k2/(r2t): s varies inversely as r2 and t.