Solve the Problem $\mathrm { P } ( \mathrm { t } ) = \frac { 240 } { 5 + 54.99 \mathrm { e } ^ { - 0.0208 \mathrm { t } } }$

question 163

Multiple Choice

Solve the problem.
-In 1990, the population of a country was estimated at 4 million. For any subsequent year the population, P(t) (in millions) , can be modeled by the equation $\mathrm { P } ( \mathrm { t } ) = \frac { 240 } { 5 + 54.99 \mathrm { e } ^ { - 0.0208 \mathrm { t } } }$ , where t is the number of years since 1990.
Estimate the year when the population will be 21 million.

• A) approximately the year 2088
• B) approximately the year 2016
• C) approximately the year 2093
• D) approximately the year 2041