SOLUTION: Quantities r and s vary inversely. When r is 1200, s is 0.35. What is the value of s when r is 2400? Express your answer as a decimal to the nearest thousandth. For this one, i

Question 416087: Quantities r and s vary inversely. When r is 1200, s is 0.35. What is the value of s when r is 2400? Express your answer as a decimal to the nearest thousandth.
For this one, is it just .7? It seems too easy to be just .7 and I don't really know how to do these problems.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Quantities r and s vary inversely. When r is 1200, s is 0.35. What is the value of s when r is 2400? Express your answer as a decimal to the nearest thousandth.
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Equation:
r = k/s
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Solve for "k" using "When r is 1200, s is 0.35".
1200 = k/0.35
k = 0.35*1200
k = 420
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Equation:
r = 420/s
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What is the value of s when r is 2400?
2400 = 420/s
---
s = 420/2400
s = 7/40 = 0.175
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Cheers,
Stan H.
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