The population P (in millions)of the United States from 1970 to 2000 can be approximated by the exponential function $P ( t ) = 203.0 ( 1.0107 ) ^ { t }$ , where t is the time in years with $t = 0$ corresponding to 1970. Use the model to estimate the population in the year 2,005. Round your answer to one decimal place. Source: U.S. Census Bureau
A)205.2 million
B)7,181.0 million
C)223.9million
D)294.6 million
E)1.5 million

Question

Quizplus · Accepted Answer

To estimate the population in 2005, substitute $t = 35$ (since 2005 is 35 years after 1970) into the function: $P(35) = 203.0 \times (1.0107)^{35}$. This calculation results in approximately 294.6 million.

The Population P (In Millions)of the United States from 1970 P(t)=203.0(1.0107)tP ( t ) = 203.0 ( 1.0107 ) ^ { t }P(t)=203.0(1.0107)t

The Population P (In Millions)of the United States from 1970 $P ( t ) = 203.0 ( 1.0107 ) ^ { t }$