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Derivatives and Rates of Change

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After t years, the value of a car purchased for V(t) = 20,000(3/4)^t

(a) use a graphing utility to graph the function and determine the value of the car 2 years after it was purchased.

(b) Find the rates of change of V with respect to t when t = 1 and t - 4.

(c) free hand stetch graph of V'(t) and determine the horizontal asymptote of V'(t). Interpret its meaning in the context of the problem.

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Derivatives and rates of change are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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