In 2012, the population of a city was 6.66 million. The exponential growth rate was 3.16% 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 11 million? d) Find the doubling time. where t is in terms of the number of years a) The exponential growth function is P(t) = 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 (Round to one decimal place as needed.) million. c) The population of the city will be 11 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.)
In 2012, the population of a city was 6.66 million. The exponential growth rate was 3.16% 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 11 million? d) Find the doubling time. where t is in terms of the number of years a) The exponential growth function is P(t) = 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 (Round to one decimal place as needed.) million. c) The population of the city will be 11 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.)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 41E
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Transcribed Image Text:In 2012, the population of a city was 6.66 million. The exponential growth rate was 3.16%
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 11 million?
d) Find the doubling time.
where t is in terms of the number of years
a) The exponential growth function is P(t) =
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
(Round to one decimal place as needed.)
million.
c) The population of the city will be 11 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.)
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