1. The amount M (in trillions of dollars) of mortgage debt outstanding in the United States from 1990 through 2009 can be approximated by the function M = f(t) = 0.0037(t + 14.979)", where t
= 0 represents the year 1990.
(a) Describe the transformation of the common function f(x) =
x? Then sketch the graph over
the interval 0 < t < 19.
(b) Rewrite the function so that t = 0 represents the year 2000. Explain how you got your answer.
(c) Use the model from part (b) to predict the mortgage debt in the year 2014