The number of Elvis impersonators in the US was 37 in 1977, and was growing by a factor of R = 1.56 every year

a) Formulate a model that describes the number of Elvis impersonators under these conditions.

b) Use your model to predict the number of Elvis impersonators in 2014. Evaluate your answer. (You might want to consider that according to the US Census Bureau the US population is currently around 319,050,400.)

c) According to the (completely fictitious) research on impersonators of famous figures, the carrying capacity for Elvis impersonators is 85,500. Using the initial rate of growth and this carrying capacity formulate two different population models that might reasonably describe the change in the number of Elvis impersonators through the years since 1977