Model Exponential Growth and Decay
Solve $\mathrm { A } = 23 \mathrm { e } ^ { \mathrm { kt } }$

question 158

Multiple Choice

Model Exponential Growth and Decay
Solve.
-The population of a particular country was 23 million in 1981 ; in 1987 , it was 32 million. The exponential growth function $\mathrm { A } = 23 \mathrm { e } ^ { \mathrm { kt } }$ describes the population of this country t years after 1981. Use the fact that 6 years after 1981 the population increased by 9 million to find $\mathrm { k }$ to three decimal places.

• A) \(0.055\)
• B) \(0.366\)
• C) \(1.100\)
• D) \(0.065\)

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Definitions:

Aerobic Respiration

A metabolic process that uses oxygen from the air to release energy from glucose, producing carbon dioxide and water as waste.

Citric Acid Cycle

A series of chemical reactions used by all aerobic organisms to release stored energy through the oxidation of acetyl-CoA derived from carbohydrates, fats, and proteins.

Acetyl-CoA Formation

A crucial metabolic process in which acetyl-CoA is produced from carbohydrates, fats, and proteins and is used in the Krebs cycle for energy production.

Electron Transfer Phosphorylation

A process in cellular respiration where electrons are transferred through a series of protein complexes, resulting in the generation of ATP.