In 2012, the population of a city was 6.82 million. The exponential growth rate was 3.36% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 9 million? d) Find the doubling time. ← a) The exponential growth function is P(t)=, where t is in terms of the number of years since 2012 and P(t) is the population in millions. (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.) b) The population of the city in 2018 is million. (Round to one decimal place as needed.) c) The population of the city will be 9 million in about years after 2012. (Round to one decimal place as needed.) d) The doubling time is about years. (Simplify your answer. Round to one decimal place as needed.)

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

In 2012, the population of a city was 6.82 million. The exponential growth rate was 3.36% per year.

**Question:**

a) Find the exponential growth function.

b) Estimate the population of the city in 2018.

c) When will the population of the city be 9 million?

d) Find the doubling time.

---

**Solution:**

a) The exponential growth function is \( P(t) = \boxed{} \), where \( t \) is in terms of the number of years since 2012 and \( P(t) \) is the population in millions.
(Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.)

b) The population of the city in 2018 is \( \boxed{} \) million.
(Round to one decimal place as needed.)

c) The population of the city will be 9 million in about \( \boxed{} \) years after 2012.
(Round to one decimal place as needed.)

d) The doubling time is about \( \boxed{} \) years.
(Simplify your answer. Round to one decimal place as needed.)
Transcribed Image Text:**Exponential Growth of City Population** In 2012, the population of a city was 6.82 million. The exponential growth rate was 3.36% per year. **Question:** a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 9 million? d) Find the doubling time. --- **Solution:** a) The exponential growth function is \( P(t) = \boxed{} \), where \( t \) is in terms of the number of years since 2012 and \( P(t) \) is the population in millions. (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.) b) The population of the city in 2018 is \( \boxed{} \) million. (Round to one decimal place as needed.) c) The population of the city will be 9 million in about \( \boxed{} \) years after 2012. (Round to one decimal place as needed.) d) The doubling time is about \( \boxed{} \) years. (Simplify your answer. Round to one decimal place as needed.)
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