After t years, the value of a car purchased for $25,000 is V(t) = 25,000( 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) Use a graphing utility to graph V′(t) and determine the horizontal asymptote of V′(t). Interpret its meaning in the context of the problem.

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Exponential Growth Model

The relation that represents an exponential function is: