Assume the population P (in millions) of the United States from 1992 through 2005 can be modeled by the exponential function $P ( t ) = 255.82 ( 1.606 ) ^ { t }$ , where t is the time in years, with t = 2 corresponding to1992. Use the model to estimate the population in the year 2006. Round your answer to the nearest million.
A)4389 million
B)2733 million
C)7049 million
D)660 million
E)4388 million

Question

Quizplus · Accepted Answer

The population in 2006 can be estimated by plugging t = 14 (since 2006 is 14 years after 1992) into the given exponential function:P(14) = 255.82(1.606)^14 ≈ 4389 millionTherefore, the estimated population in the year 2006 is approximately 4389 million, which is closest to choice A.

Assume the Population P (In Millions) of the United States P(t)=255.82(1.606)tP ( t ) = 255.82 ( 1.606 ) ^ { t }P(t)=255.82(1.606)t

Assume the Population P (In Millions) of the United States $P ( t ) = 255.82 ( 1.606 ) ^ { t }$