Solve the Problem $P ( t ) = 8 ( 1.0134 ) ^ { t }$

Multiple Choice

Solve the problem.
-The function $P ( t ) = 8 ( 1.0134 ) ^ { t }$ represents the population (in millions) of a country $t$ years after January 1, 2000. Write an equivalent function using base $e$ ; that is, write a function of the $P ( t ) = P _ { 0 } e ^ { r t }$ . Round $r$ to 5 decimal places. Also, determine the population for the year 2000 .

A) $P ( t ) = 8 e ^ { 0.01331 t }$ ; population in 2000: 8 million
B) $P ( t ) = 8 e ^ { 0.01331 t }$ ; population in $2000 : 8.1$ million
C) $P ( t ) = 2.1 e ^ { 0.10649 t }$ ; population in 2000: $2.3$ million
D) $P ( t ) = 2.1 e ^ { 0.10649 t }$ ; population in $2000 : 2.1$ million