![College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)](https://www.bartleby.com/isbn_cover_images/9780134179025/9780134179025_largeCoverImage.gif)
Concept explainers
Retail Sales November and December retail sales, excluding autos, for the years 2001–2010 can be modeled by the function
a. Graph the function for values of x representing 2001–2010.
b. During what years does the model estimate the sales to be $550 billion?
c. The recession in 2008 caused retail sales to drop. Does the model agree with the facts: that is, does it indicate that a maximum occurred in 2008?
(Source: U.S. Census Bureau)
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Chapter 3 Solutions
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
- . Sketch the graph of the amount of a particular brand of coffee sold by a store as a function of the price of the coffee.arrow_forwardPatty’s Parasols recorded the monthly rainfall and their umbrella sales for an entire year. The following table shows the inches of rainfall and the number of umbrellas the store sold each month. The relationship between the inches of rainfall and umbrella sales can be modeled using a linear function. Month Jan. Feb. Mar. Apr. May Jun. Jul. Aug. Sept. Oct. Nov. Dec. Rainfall (in.) 2.5 3.1 4.0 4.3 3.6 2.4 1.2 0.6 1.5 1.4 1.1 2.6 Umbrella sales 132 140 162 170 156 103 98 87 84 78 110 125 Using technology, determine the correlation coefficient for the data to the nearest hundredth. Explain the steps you used. What does the correlation coefficient for the data indicate about the direction and strength of the linear association between the monthly rainfall and the number of umbrellas sold?arrow_forwardPatty’s Parasols recorded the monthly rainfall and their umbrella sales for an entire year. The following table shows the inches of rainfall and the number of umbrellas the store sold each month. The relationship between the inches of rainfall and umbrella sales can be modeled using a linear function. Month Jan. Feb. Mar. Apr. May Jun. Jul. Aug. Sept. Oct. Nov. Dec. Rainfall (in.) 2.5 3.1 4.0 4.3 3.6 2.4 1.2 0.6 1.5 1.4 1.1 2.6 Umbrella sales 132 140 162 170 156 103 98 87 84 78 110 125 Using technology, determine the correlation coefficient for the data to the nearest hundredth. Explain the steps you used. What does the correlation coefficient for the data indicate about the direction and strength of the linear association between the monthly rainfall and the number of umbrellas sold Im stuck on this questionarrow_forward
- In which year are PEV sales projected to equal 8.2 %of total vehicle sales?arrow_forwardStudent Loans Data for selected years from 2011and projected to 2023 can be used to show that thebalance of federal direct student loans y, in billions ofdollars, is related to the number of years after 2010,x, by the function y = 130.7x + 699.7.a. Graph the function for x-values corresponding2010 to 2025.b. Find the value of y when x is 13.c. What does this function predict the balance offederal direct student loans will be in 2029?(Source: U.S. Office of Management and Budget)arrow_forwardU.S. Population Over Age 16 The table gives theprojections of the population, in millions, of U.S.residents over age 16 for selected years 2015 to 2060.a. Graph the data, with y equal to the population inmillions and x equal to the number of years after2010.b. Find a linear function that models the data, with yequal to the population in millions and x equal to thenumber of years after 2010.c. Graph the model and the data on the same axesand comment on the fit of the model to the data.d. What does the model predict that the populationwill be in 2042?e. In what year does the model predict that the population will be 336.827 million?arrow_forward
- 1 2 B 4 5 5 7 B 3 0 1 2 3 4 LO 5 6 7 8 9 0 LO A Year 1975 1980 1985 1990 1995 2000 2005 2010 2015 2020 2025 2030 2035 2040 2045 2050 B Labor Pool (millions) 491 557 649 729 762 802 871 911 924 924 906 879 834 819 805 675 C D Earrow_forwardthe operating expesnes of amazon increased from 3.6 billion in 2008 to 16.3 billion in 2012. use the information to find a linear model for amazons operating expesne E as a function of time t in years since 2010arrow_forwardPatty's Parasols recorded the monthly rainfall and their umbrella sales for an entire year. The following table shows the inches of rainfall and the number of umbrellas the store sold each month. The relationship between the inches of rainfall and umbrella sales can be modeled using a linear function. Apr Jan. Feb. Mar. May Jun. Jul. Aug Sept Oct Nov Dec Month Rainfall (in.) 2.5 3.1 4.0 4.3 3.6 2.4 1.2 0.6 1.5 1.4 1.1 2.6 Umbrella sales 132 140 162 170 156 103 98 87 84 78 110 125 (a) Using technology, determine the correlation coefficient for the data to the nearest hundredth. Explain the steps you used. (b) What does the correlation coefficient for the data indicate about the direction and strength of the linear association between the monthly rainf all and the number of umbrellas sold? Answer.arrow_forward
- I used a function to model data from 1990 through 2015. The independent variable in my model represented the number of years after 1990, so the function’s domain was {x| x = 0, 1, 2, 3, ......, 25}.Determine whether the statement makes sense or does not make sense, and explain your reasoning.arrow_forwardA Webmaster has tracked an increasing number of registered users since the beginning of an advertising campaign. Before starting to advertise, he had 2,200 registered users and after 4 months of advertising he now has 5,480 registered users. Use this data to write a linear function that gives the total number of registered users, given the number of months after starting to advertise. Use the function to predict the number of registered users 8 months into the advertising campaign.arrow_forwardGlobal temperature increases are benchmarked to the average temperature between 1951 and 1980. In 2010, the global average temperature was 0.72°C above the benchmark. In 2020, it was 1.02°C above.1 1climate.nasa.gov, accessed March 23, 2021. (a) Assuming the difference between the global average temperature and the benchmark is a linear function of time, find a formula for this function. The increase in average global temperature, G, above the benchmark average in the year t is given by G = i i )t eTextbook and Media (b) Use this formula to predict the difference in 2027. °C The formula predicts that in the year 2027, the average global temperature will have increased by over the benchmark.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
![Text book image](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)