The population of Canada in 2015 was 35.1 million and the expected continuous annual rate of change k of the population is 0.008†.(a)Find the exponential growth modelP = Cektfor the population by letting t = 5 correspond to 2015. (Round the leading coefficient to three decimal places.)P = (b)Use the model to predict the population of the country in 2022. (Round your answer to two decimal places.) million(c)Discuss the relationship between the sign of k and the change in population for the country.Because k ? < = > 0, the population is ---Select--- decreasing increasing constant . The population of Canada in 2015 was 35.1 million and the expected continuous annual rate of change k of the population is 0.008t.(a) Find the exponential growth modelP = Cektfor the population by letting t = 5 correspond to 2015. (Round the leading coefficient to three decimal places.)P =%3D(b) Use the model to predict the population of the country in 2022. (Round your answer to two decimal places.)million(c)Discuss the relationship between the sign of k and the change in population for the country.Because k ?0, the population is --Select-- v-Select-

Given The Canada population in 2015 is 35.1 The population rate of change is k = 0.008. Exponential…

The population of Canada in 2015 was 35.1 million and the expected continuous annual rate of change k of the population is 0.008t. (a) Find the exponential growth model P = Cekt for the population by letting t = 5 correspond to 2015. (Round the leading coefficient to three decimal places.) P = (b) Use the model to predict the population of the country in 2022. (Round your answer to two decimal places.) million (c) Discuss the relationship between the sign of k and the change in population for the country. Because k?v 0, the population is Select---v -Select-

The population of Canada in 2015 was 35.1 million and the expected continuous annual rate of change k of the population is 0.008t. (a) Find the exponential growth model P = Cekt for the population by letting t = 5 correspond to 2015. (Round the leading coefficient to three decimal places.) P = (b) Use the model to predict the population of the country in 2022. (Round your answer to two decimal places.) million (c) Discuss the relationship between the sign of k and the change in population for the country. Because k?v 0, the population is Select---v -Select-

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

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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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

The population of Canada in 2015 was 35.1 million and the expected continuous annual rate of change k of the population is 0.008†.

(a)

Find the exponential growth model

P = Ce^kt

for the population by letting

t = 5

correspond to 2015. (Round the leading coefficient to three decimal places.)

P =

(b)

Use the model to predict the population of the country in 2022. (Round your answer to two decimal places.)

million

(c)

Discuss the relationship between the sign of k and the change in population for the country.

Because

k ? < = > 0,

the population is ---Select--- decreasing increasing constant .

The population of Canada in 2015 was 35.1 million and the expected continuous annual rate of change k of the population is 0.008t.
(a) Find the exponential growth model
P = Cekt
for the population by letting t = 5 correspond to 2015. (Round the leading coefficient to three decimal places.)
P =
%3D
(b) Use the model to predict the population of the country in 2022. (Round your answer to two decimal places.)
million
(c)
Discuss the relationship between the sign of k and the change in population for the country.
Because k ?
0, the population is --Select-- v
-Select-

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