Solve the Problem $\mathrm { A } = 22 \mathrm { e } ^ { \mathrm { kt } }$

question 159

Multiple Choice

Solve the problem.
-The population of a particular country was 22 million in 1985 ; in 2000 , it was 31 million. The exponential growth function $\mathrm { A } = 22 \mathrm { e } ^ { \mathrm { kt } }$ describes the population of this country t years after 1985 . Use the fact that 15 years after 1985 the population increased by 9 million to find $k$ to three decimal places.

• A) \(0.023\)
• B) \(0.146\)
• C) \(0.435\)
• D) \(0.033\)

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