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Suppose K, L, and a Grow at Constant Rates Given gˉk\bar { g } _ { k }

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Suppose k, l, and A grow at constant rates given by gˉk\bar { g } _ { k } ' gˉy\bar {g } _ { y } and gˉA\bar { g } _ { A } ' The growth rate of y if y=Akal(1a)y = A k ^ { a } l ^ { ( 1 - a ) } is gˉy=gˉA+agˉk+(1a)gˉi\bar { g } _ { y } = \bar { g } _ { A } + a \bar { g } _ { k } + ( 1 - a ) \bar { g } _ { i } ,

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