Towns A and B have populations at year t given by PA(t) = 42(1.14)' and PB(t) = 78(0.96)ʻ, respectively. Answer questions (a), (b) and (c) below. Give only exact numerical answers. Do not round off. (a) For PA(t) = 42(1.14)' report each: The initial population is Number The growth factor is Number The annual growth rate is Number %. Is the population increasing or decreasing? increasing decreasing (b) For PB(t) = 78(0.96)' report each: The initial population is Number The growth factor is Number The annual growth rate is Number %. (Ве careful here.) Is the population increasing or decreasing? increasing decreasing (c) Complete the following for PA(t) = 42(1.14)' and Pg(t) = 78(0.96)' . By what percent does Town A grow each year? Number % per year. By what percent does Town B decrease each year? Number % per year.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...
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Towns A and B have populations at year t given by PA(t) = 42(1.14)' and PB(t) = 78(0.96)', respectively.
Answer questions (a), (b) and (c) below. Give only exact numerical answers. Do not round off.
(a) For PA(t) = 42(1.14)' report each:
The initial population is Number
The growth factor is Number
The annual growth rate is Number
%.
Is the population increasing or decreasing?
increasing
decreasing
(b) For PB(t) = 78(0.96)' report each:
The initial population is Number
The growth factor is Number
The annual growth rate is Number
%. (Ве
careful here.)
Is the population increasing or decreasing?
increasing
decreasing
(c) Complete the following for PA(t) = 42(1.14)' and PB(t) = 78(0.96)' .
By what percent does Town A grow each year? Number
% per year.
By what percent does Town B decrease each year? Number
% per year.
Transcribed Image Text:Towns A and B have populations at year t given by PA(t) = 42(1.14)' and PB(t) = 78(0.96)', respectively. Answer questions (a), (b) and (c) below. Give only exact numerical answers. Do not round off. (a) For PA(t) = 42(1.14)' report each: The initial population is Number The growth factor is Number The annual growth rate is Number %. Is the population increasing or decreasing? increasing decreasing (b) For PB(t) = 78(0.96)' report each: The initial population is Number The growth factor is Number The annual growth rate is Number %. (Ве careful here.) Is the population increasing or decreasing? increasing decreasing (c) Complete the following for PA(t) = 42(1.14)' and PB(t) = 78(0.96)' . By what percent does Town A grow each year? Number % per year. By what percent does Town B decrease each year? Number % per year.
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