Question: A national census bureau predicts that a certain population will increase from 35.7 million in 2000 to 56.5 million in 2080. Complete parts (a) through

A national census bureau predicts that a certain population will increase from

35.7 million in 2000 to 56.5 million in 2080.

Complete parts (a) through (c) below.

(a) Find an exponential function of the form f(t)=y0bt for these data, in which t=0 corresponds to 2000 and f(t) is in millions.

f(t)=enter your response here

(Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.)

(B) What is the projected population in 2020? In 2030?

By experimenting with different values of t (or by using a graphing calculator to solve an appropriate equation), estimate the first full year in which the population will exceed

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