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DEMAND FOR HYBRID CARS 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) = 3,500 19x¹/² + 6(0.1y + 16) ³/2 She estimates that t years from now, the hybrid cars will be selling for x(t) = 35,050 + 350t dollars apiece and that gasoline will cost y(t) = 300 + 10(3t)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? Will it be increasing or decreasing?

DEMAND FOR HYBRID CARS 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) = 3,500 19x¹/² + 6(0.1y + 16) ³/2 She estimates that t years from now, the hybrid cars will be selling for x(t) = 35,050 + 350t dollars apiece and that gasoline will cost y(t) = 300 + 10(3t)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? Will it be increasing or decreasing?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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72. DEMAND FOR HYBRID CARS 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) = 3,500 - 19x¹/² + 6(0.1y + 16)³/2 She estimates that t years from now, the hybrid cars will be selling for x(t) = 35,050 + 350t dollars apiece and that gasoline will cost y(t) = 300 + 10(3t)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? Will it be increasing or decreasing?
Transcribed Image Text:72. DEMAND FOR HYBRID CARS 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) = 3,500 - 19x¹/² + 6(0.1y + 16)³/2 She estimates that t years from now, the hybrid cars will be selling for x(t) = 35,050 + 350t dollars apiece and that gasoline will cost y(t) = 300 + 10(3t)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? Will it be increasing or decreasing?
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