The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per year. (i) Assuming that this growth rate continues, derive a model to represent the population P (in billions of people) in year t. (ii) From the model derive in (i), approximately when will the population of the world be 11.2 billion people?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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The population of the world in 2015 was 9.75 billion people and was growing at a rate of
1.25% per year.
(i) Assuming that this growth rate continues, derive a model to represent the
population P (in billions of people) in year t.
(ii) From the model derive in (i), approximately when will the population of
the world be 11.2 billion people?
The number of women in the workforce, based on data and projections from 1950 to
2050, can be modeled by a linear function.
The number was 18.4 million in 1950 and is projected to be 81.6 million in 2030. Let x
represent the number of years after 1950.
(i). What is the slope of the line?
(ii). What is the average rate of change in the number of women in the workforce
during this time period?
(iii). Use the slope from part (i) and the number of millions of women in the
workforce in 1950 to write the equation of the line.
2x +3
Find the domain of the function H(x)=-
x' -4x
Solve the following
(i) |10–3x|517
(ii) x² – 6x 213.
Transcribed Image Text:The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per year. (i) Assuming that this growth rate continues, derive a model to represent the population P (in billions of people) in year t. (ii) From the model derive in (i), approximately when will the population of the world be 11.2 billion people? The number of women in the workforce, based on data and projections from 1950 to 2050, can be modeled by a linear function. The number was 18.4 million in 1950 and is projected to be 81.6 million in 2030. Let x represent the number of years after 1950. (i). What is the slope of the line? (ii). What is the average rate of change in the number of women in the workforce during this time period? (iii). Use the slope from part (i) and the number of millions of women in the workforce in 1950 to write the equation of the line. 2x +3 Find the domain of the function H(x)=- x' -4x Solve the following (i) |10–3x|517 (ii) x² – 6x 213.
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