solve problem

Question

a pitcher 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 328 innings with the same average.

Answer 1

R/328 = 85/262

R= about 106 runs

262/9 = 29.111 9 inning games pitched

29.111 x 2.92 = 85 runs

328/9 = 36.444 9 inning games pitched

36.444 x 2.92 = about 106 runs