Question

16. The population of the United States in July of 2000 was 282.2 million people. A year later in July of 2001

the population was 284.8 million.
Find an exponential model, in the form of P(t)= a(b)', that models the population of the United States in
millions of people. The variable t represents the number of years since July of 2000. Round your value of b
to the nearest thousandth.

Answer 1

Explanation:

284.8 = 282.2 ( b)^1 1 is the number of years....looking for 'b'

284.8 / 282.2 = b = ~ 1.009

P(t) = 282.2 ( 1.009)^t where P(t) is in millions and :

The variable t represents the number of years since July of 2000. Round your value of b to the nearest thousandth.