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) \(0.033\)

---

Definitions:

Ambiguity

A situation or statement that is unclear or open to more than one interpretation.

Uncertainty

The state of having limited knowledge where it is impossible to exactly describe the existing state, a future outcome, or more than one possibility.

Corporate Social Responsibility

A business model that helps a company be socially accountable to itself, its stakeholders, and the public.

Socially Responsible

The obligation of individuals, groups, or organizations to act in a manner that benefits society at large, often beyond legal or regulatory requirements.