A car dealer determines that if gasoline-electric hybrid automobiles are sold fo

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A car dealer determines that if gasoline-electric hybrid automobiles are sold for x dollars apiece and the price of gasoline is y cents per gallon, then approximately H hybrid cars will be sold each year, where H(x,y) = 9000 - 20 x^{1/2} + 4(0.1y + 20)^{3/2}. She estimates that t years from now, the hybrid cars will be selling for 31000 + 350 t dollars apiece and that gasoline will cost 300 + 30 t^{1/2} cents per gallon. At what rate will the annual demand for hybrid cars be changing with respect to time 3 years from now?

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