The population of Maple Valley, WA in 2000 was 14558, and it grew to 22544 in 2010. a. If t = 0 represents the year 2000, write the population of Maple Valley in the form P(t) = Poe. Round k to 4 decimals.
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**Population Growth Exercise**
The population of Maple Valley, WA in 2000 was 14,558, and it grew to 22,544 in 2010.
**a.** If \( t = 0 \) represents the year 2000, write the population of Maple Valley in the form \( P(t) = P_0 e^{kt} \). Round \( k \) to 4 decimals.
- \( P_0 = \) [Input Box]
- \( k = \) [Input Box]
**b.** In 2018, the population of Maple Valley, WA was 27,114. Did the population continue to grow at the same rate as your function in (a)? If not, did the population increase at a lower rate or higher rate than your above function?
- The population of Maple Valley increased at:
- ☐ A. a lower rate
- ☐ B. the same rate
- ☐ C. a higher rate
**Answers**
| | Answer |
|---------------------|-------------------------|
| Population in 2010 | |
| \( k \) value | |
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There are no graphs or diagrams. This task involves calculating the continuous growth rate \( k \) using the given formula and comparing the actual population growth from 2000 to 2018 with the calculated growth rate.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71937467-3418-4168-ba3a-1f533ed3f436%2F9510bbcf-bcfe-4801-84e5-934979f6430a%2F10c6c5_processed.jpeg&w=3840&q=75)
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