Question 1021017
A pitcher's earned-run average E varies directly as the number R of earned runs allowed and inversely as the number I of innings pitched. A certain pitcher had an earned-run average of 2.92, giving up 85 earned runs in 262 innings. How many earned runs would the pitcher have given up having pitched 284 innings with the same average. 
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E = k*R/I
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Solve for "k" using "A certain pitcher had an earned-run average of 2.92, giving up 85 earned runs in 262 innings".
2.92 = k*85/262
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k = 9
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Equation::
E = 9*R/I
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?How many earned runs would the pitcher have given up having pitched 284 innings with the same average?
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2.92 = 9*R/284
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R = 92.14 or 92 when rounded down.
Cheers,
Stan H.
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