In 2012, the population of a city was 5.91 million. The exponential growth rate was 1.56% 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 8 million? d) Find the doubling time.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 16E
icon
Related questions
Topic Video
Question
In 2012, the population of a city was 5.91 million. The exponential growth rate was 1.56% 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 8 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 8 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.)
Transcribed Image Text:In 2012, the population of a city was 5.91 million. The exponential growth rate was 1.56% 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 8 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 8 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.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning