Solve the Problem $\mathrm { f } ( \mathrm { x } ) = 16.4 \mathrm { e } ^ { 0.0002 \mathrm { x } }$

question 74

Multiple Choice

Solve the problem.
-In September 1998 the population of the country of West Goma in millions was modeled by $\mathrm { f } ( \mathrm { x } ) = 16.4 \mathrm { e } ^ { 0.0002 \mathrm { x } }$ . At the same time the population of East Goma in millions was modeled by $g ( x ) = 13.7 e ^ { 0.0134 x }$ . In both formulas $\mathrm { x }$ is the year, where $\mathrm { x } = 0$ corresponds to September 1998. Assuming these trends continue, estimate the year when the population of West Goma will equal the population of East Goma.

• A) 14
• B) 1984
• C) 2011
• D) 2012