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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.

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.

Calculus: Early Transcendentals
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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Precalculus - Module B - Assimilate and Apply This assignment should be done with no assistance, based on your own understanding of the problem. Please show work for all other problems in your workbook. I WILL NOT ACCEPT LATE SUBMISSIONS. Include the Academic Integrity Statement at the top of the first page. I affirm that I have neither given nor received unauthorized assistance on this assignment 1. 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. 2. According to the 2010 census, Chicago was the third largest city in the US. In 2011, its population was 2,707,000, an increase of 0.4% over the previous year. Assuming the populations of Houston and Chicago are growing exponentially, write and solve an equation to predict when the population of Houston will equal that of Chicago. (You may solve the equation algebraically or graphically. A graphic solution should include a carefully drawn graph.) 3. The function g(x) = 112 In(0.121x) + 2011 models the year in which the population of New York City will equal x million people. Write and solve an equation to estimate the population of New York in 2020. Evaluate. Give the exact answer when possible. c. log,(-6) 4. b. In d. 7lo87(2x-1) e. log, 240 a. logħV43 5. Properties of logarithms: a. Expand as much as possible using properties of logarithms. Simplify any logs that can be evaluated without a calculator. In log3 9(x – 3y)² Use the properties of logs to write each expression as a single logarithm with coefficient 1. Simplify as much as possible. b. 0 Slog. 16-log 4 F9 D00 F5 BER
Transcribed Image Text:Precalculus - Module B - Assimilate and Apply This assignment should be done with no assistance, based on your own understanding of the problem. Please show work for all other problems in your workbook. I WILL NOT ACCEPT LATE SUBMISSIONS. Include the Academic Integrity Statement at the top of the first page. I affirm that I have neither given nor received unauthorized assistance on this assignment 1. 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. 2. According to the 2010 census, Chicago was the third largest city in the US. In 2011, its population was 2,707,000, an increase of 0.4% over the previous year. Assuming the populations of Houston and Chicago are growing exponentially, write and solve an equation to predict when the population of Houston will equal that of Chicago. (You may solve the equation algebraically or graphically. A graphic solution should include a carefully drawn graph.) 3. The function g(x) = 112 In(0.121x) + 2011 models the year in which the population of New York City will equal x million people. Write and solve an equation to estimate the population of New York in 2020. Evaluate. Give the exact answer when possible. c. log,(-6) 4. b. In d. 7lo87(2x-1) e. log, 240 a. logħV43 5. Properties of logarithms: a. Expand as much as possible using properties of logarithms. Simplify any logs that can be evaluated without a calculator. In log3 9(x – 3y)² Use the properties of logs to write each expression as a single logarithm with coefficient 1. Simplify as much as possible. b. 0 Slog. 16-log 4 F9 D00 F5 BER
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