Marry purchases a new car for $48,000. The car's value can be modeled by the following exponential function: y = 48,000 (0.76) ^t where y represents the car's value and t represents time in years. Madelyn says there is no horizontal asymptote while Owen says there is a horizontal asymptote at y = 0. Who is correct and how do you know?

Question

Dennis Blankenship

Mathematics

25 October, 02:16

Marry purchases a new car for $48,000. The car's value can be modeled by the following exponential function: y = 48,000 (0.76) ^t where y represents the car's value and t represents time in years. Madelyn says there is no horizontal asymptote while Owen says there is a horizontal asymptote at y = 0. Who is correct and how do you know?

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Answers (1)

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Zechariah Petersen · Answer 1

Madelyn is correct because there is nothing adding at the end so the asymptote = 0 and there is no y at the end of the equation.

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