0.004t describes the population, A, of a country in millions, t years after 2003. The exponential model A=571.3e

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Exponential Population Growth Model**

The model given is:
\[ A = 571.3e^{0.004t} \]

This equation describes the population, \( A \), of a country in millions, \( t \) years after 2003. Use the model to answer the following questions:

(a) **What was the population of the country in 2003?**  
The population in 2003 was \[\boxed{\phantom{fill-in-the-answer}}\] million.

(b) **By what percentage is the population of the country increasing each year?**  
The population is increasing by \[\boxed{\phantom{fill-in-the-answer}}\] % each year (do not type the percent sign as part of your answer).
Transcribed Image Text:**Exponential Population Growth Model** The model given is: \[ A = 571.3e^{0.004t} \] This equation describes the population, \( A \), of a country in millions, \( t \) years after 2003. Use the model to answer the following questions: (a) **What was the population of the country in 2003?** The population in 2003 was \[\boxed{\phantom{fill-in-the-answer}}\] million. (b) **By what percentage is the population of the country increasing each year?** The population is increasing by \[\boxed{\phantom{fill-in-the-answer}}\] % each year (do not type the percent sign as part of your answer).
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