A suburb city presently has a population of 100,000 people. In 25 years, what would its estimated population be if
$P=P o{e} ^{0.02 t }?$

A)164,872
B)1,318,977
C)329,744
D)659,489

Question

A suburb city presently has a population of 100,000 people. In 25 years, what would its estimated population be if 
$P=P o{e} ^{0.02 t }?$

A)164,872
B)1,318,977
C)329,744
D)659,489

Quizplus · Accepted Answer

The formula $P = P_0e^{0.02t}$ is used to calculate population growth, where $P_0$ is the initial population, $t$ is the time in years, and $e$ is the base of the natural logarithm. Substituting $P_0 = 100,000$, $t = 25$, and $e \approx 2.71828$, we get $P = 100,000 \times e^{0.02 \times 25} = 100,000 \times e^{0.5} \approx 164,872$.

A Suburb City Presently Has a Population of 100,000 People P=Poe0.02t?P=P o{e} ^{0.02 t }?P=Poe0.02t?

A Suburb City Presently Has a Population of 100,000 People $P=P o{e} ^{0.02 t }?$