11. The population of a developing city increases by 8% per year. In 2005, 125000 people lived in the city. Show all your work a) Write the population as an exponential function, using t = 0 to represent the year 2005. b) Graph the function for t= 0 to t = 20. c) What is the population expected in 2020? d) In what year should the population reach half a million? e) What assumptions are made in order to answer parts c) and d)?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,...
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11. The population of a developing city increases by 8% per year. In 2005, 125000 people lived
in the city. Show all your work
a) Write the population as an exponential function, using t= 0 to represent the year 2005.
b) Graph the function for t= 0 to t = 20.
c) What is the population expected in 2020?
d) In what year should the population reach half a million?
e) What assumptions are made in order to answer parts c) and d)?
Transcribed Image Text:11. The population of a developing city increases by 8% per year. In 2005, 125000 people lived in the city. Show all your work a) Write the population as an exponential function, using t= 0 to represent the year 2005. b) Graph the function for t= 0 to t = 20. c) What is the population expected in 2020? d) In what year should the population reach half a million? e) What assumptions are made in order to answer parts c) and d)?
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