Problems 31 and 32 refer to the following discussion: Uninhibited growth can be modeled by exponential functions other than . For example, if an initial population requires units of time to double, then the function models the size of the population at rime , Likewise, a population requiring units of time to triple can be modeled by .
Growth of a Human Population The population of a town is growing exponentially.
(a) If its population doubled in size over an 8-year period and the current population is . write an exponential function of the form that models the population.
(b) Graph the function using a graphing utility.
(c) What will the population be in 3 years?
(d) When will the population reach ?
(e) Express the model from part(a)in the form .
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