The total number of a particular chain store in the world can be modeled by the cubic function y = 10.5x - 403x + 5595x - 8699, where x is the number of years after 2000 and y is the total number of stores. Complete parts (a) through (c) below.(a) Graph the function on the window [2,20,2] by [8000,23000,1000]OA.OB.OC.OD.(b) What does the model predict the number of stores will be in 2030?The model predicts that there will beO stores in 2030.(Round to the nearest whole number as needed.)(c) Does the number of stores ever decrease over this period of years, ending in 2020, according to the model?NoYes The table gives the amount of federal tax per capita (per person) for selected years from 2000 and project to 2018.YearТах (5)Таx (5)518171297274Year201320152018Complete parts (a) through (e) below.2000854710,32212,03920052010a. Create a scatter plot of the data, with x equal to the number of years after 2000. Choose the correct answer below. The window is [0.20,2] by [0,14000,1000].O A.OB.OC.OD.b. Find a cubic function that models the data with x equal to the number of years after 2000 and y equal to the tax amount in dollars.y= (Dx + (O* + 0x+ (O(Type integers or decimals rounded to three decimal places.)c. Graph the data and the model on the same axes. Choose the correct answer below. The window is [0,20,2] by [0,14000,1000).O A.OB.В.С.OD.d. What does the model predict the federal tax per capita will be in 2022?SO per personRound to the nearest dollar as needed.)e. Use technology to find the year when the model predicts the federal tax per capita will be $36,515.In the year(Round down to the nearest vear.)

The graph of given function is attached. Clearly, it is same as in C). For year 2030, x=2030-2000=30…

Answered: The total number of a particular chain…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 76E

See similar textbooks

Similar questions

A group of students participated in an experiment to study the association between resting heart rate and exercise heart rate under various exercise conditions. Study participants stepped at a frequency of 14 steps per minute(0), 21 steps per minute(1), and 28 steps per minute(2). To investigate the relationship between resting and exercise heart rate, and to see the effects of step frequency on the relationship, a scatter plot might be created by:
Suppose a researcher collects data on houses that have been sold in a particular neighbourhood over the past year, and obtains the regressions results in the table shown below. A family purchases a 2000 square foot home and plans to make extensions totalling 500 square feet. The house currently has a pool, and a real estate agent has reported that the house is in excellent condition. However, the house does not have a view, and this will not change as a result of the extensions. According to the results in column (1), what is the expected DOLLAR increase in the price of the home due to the planned extensions?
An electronics store sells new and used Z-phones. The store manager made the scatter plot below to show the selling prices of used Z-phones and their ages, in monthsIf these data are modeled by the line y=-10x+410, which best describes a valid prediction the manager could make, based on the dataA.If the store sells a Z-phone that is 30 months old, it will probably sell for only $50B.If the store sells a brand-new Z-phone, it can expect a customer to pay about $410C.For every one-month increase in phone age, the price a customer will pay increases by about $10D.For every one-year increase in phone age, the price a customer will pay decreases by about $10
The following table gives the data for the grades on the midterm exam and the grades on the final exam. Determine the equation of the regression line, yˆ=b0+b1xy^=b0+b1x. Round the slope and y-intercept to the nearest thousandth. Grades on Midterm and Final Exams Grades on Midterm 78, 62, 75, 99, 80, 83, 74, 93, 80, 73 Grades on Final Exam 77, 78, 71, 95, 72, 84, 79, 84, 73, 80
The correlation coefficient between the yearly returns of two mutual funds is 0.20. What does that mean about the strength and direction of the linear relationship between the returns of the two funds?
Create a residual plot and comment on the appropriateness of the model.
In the method of regression, data sets are summarized in a useful form. The “independent” pieces of data are called inputs or regressors, whereas a quantity that is a function of the inputs, will be called a response. In an experiment, the effect of increasing storage temperature is related to the number of spoiled loaves of bread after 7 days. In this case, which variable will be the regressor?
Construct a residual plot.
What conclusions can you draw from the residual plot in the photo?
What information does a residual plot give us?
A used car company believes that there is a relationship between the amount spent on advertising and its sales. Data collected for 6 years are as follow: Amount spent on advertising Sales ($thousands) ($millions) 2.0 1 3.0 3 2.5 4 2.0 2 2.0 1 3.5 7 1. Illustrate the above on a scatter plot.
A student working on a physics project investigated the relationship between the speed and the height of roller coasters. The student collected data on the maximum speed, in miles per hour, and the maximum height, in feet, for a random sample of 2121 roller coasters, with the intent of testing the slope of the linear relationship between maximum speed and maximum height. However, based on the residual plot shown, the conditions for such a test might not be met.

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Big Ideas Math A Bridge To Success Algebra 1: Stu…

Algebra

ISBN:

9781680331141

Author:

HOUGHTON MIFFLIN HARCOURT

Publisher:

Houghton Mifflin Harcourt

SEE MORE TEXTBOOKS