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

Multiple Choice

Solve the problem.
-The population of a particular country was 22 million in 1984 ; in 1995, it was 34 million. The exponential growth function $\mathrm { A } = 22 \mathrm { e } ^ { \mathrm { kt } }$ describes the population of this country t years after 1984 . Use the fact that 11 years after 1984 the population increased by 12 million to find $\mathrm { k }$ to three decimal places.

A) $0.040$
B) $0.226$
C) $0.602$
D) $0.050$