According to 2010 census data, Houston was the fourth largest city in the US. In 2011, its population was 2,145,000, an increase of 2.2% compared to the previous year. a) What was the 2010 population of Houston. b) Assuming the growth rate of 2.2% per year continues, write the equation of function that can be used to represent Houston's population in number of years since 2010. (Define variables! c) What is the y-intercept of the function, and what does it represent in the context of the problem? d) What is the expected population of Houston in 2023 based on this model? e) { Write and solve an equation that can be used to predict when the population of Houston will reach 3 million. Interpret your answer.
According to 2010 census data, Houston was the fourth largest city in the US. In 2011, its population was 2,145,000, an increase of 2.2% compared to the previous year. a) What was the 2010 population of Houston. b) Assuming the growth rate of 2.2% per year continues, write the equation of function that can be used to represent Houston's population in number of years since 2010. (Define variables! c) What is the y-intercept of the function, and what does it represent in the context of the problem? d) What is the expected population of Houston in 2023 based on this model? e) { Write and solve an equation that can be used to predict when the population of Houston will reach 3 million. Interpret your answer.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:According to 2010 census data, Houston was the fourth largest city in the US. In 2011, its population was
2,145,000, an increase of 2.2% compared to the previous year.
a) What was the 2010 population of Houston.
b) Assuming the growth rate of 2.2% per year continues, write the equation of function that can be used to
represent Houston's population in number of years since 2010. (Define variables!
c) What is the y-intercept of the function, and what does it represent in the context of the problem?
d) What is the expected population of Houston in 2023 based on this model?
e) { Write and solve an equation that can be used to predict when the population of Houston will reach 3 million.
Interpret your answer.
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