I need help with 1a Precalculus - Module B - Assimilate and ApplyThis assignment should be done with no assistance, based on your own understanding of the problem. Please showwork for all other problems in your workbook. I WILL NOT ACCEPT LATE SUBMISSIONS. Include the AcademicIntegrity Statement at the top of the first page.I affirm that I have neither given nor received unauthorized assistance on this assignment1. According to 2010 census data, Houston was the fourth largest city in the US. In 2011, its population was2,145,000, 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 torepresent 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 growingexponentially, 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 xmillion 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. Ind. 7lo87(2x-1)e. log, 240a. logħV435. Properties of logarithms:a.Expand as much as possible using properties of logarithms. Simplify any logs that can be evaluated without acalculator.Inlog3 9(x – 3y)²Use the properties of logs to write each expression as a single logarithm with coefficient 1. Simplify as muchas possible.b.0 Slog. 16-log 4F9D00F5BER

Given : The population in year 2011 as 2145000. The percent of increase from the 2010 is 2.2⁒…

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 5PFA

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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

I need help with 1a

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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