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

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Definitions:

Symmetry

The balanced distribution of equivalent or similar elements within a design or structure, creating harmony and balance.

Perception

Perception is the process by which organisms interpret and organize sensory information to represent and understand their environment.

Early Maturation

The process of reaching physical or psychological maturity more quickly than others of the same age group, often resulting in various social and emotional effects.

Popularity

The state or condition of being liked, admired, or supported by a large number of people.