Solve the Problem $f ( x ) = 17.8 e ^ { 0.0018 x }$

question 314

Multiple Choice

Solve the problem.
-In September 1998 the population of the country of West Goma in millions was modeled by $f ( x ) = 17.8 e ^ { 0.0018 x }$ . At the same time the population of East Goma in millions was modeled by $g ( x ) = 13.1 e ^ { 0.0148 x }$ . In both formulas $x$ is the year, where $x = 0$ corresponds to September 1998. Assuming these trends continue, estimate what the population will be when the populations are equal.

• A) 1 million
• B) 17 million
• C) 19 million
• D) 18 million