Concept explainers
Use a calculator with an
Average annual premiums for employer-sponsored family health insurance policies more than doubled over 11 years The bar graph shows the average cost of a family health insurance plan in the United States for six selected years from 2000 through 2011.
The data can be modeled by
model the percentage of college graduates, among people ages 25 and older, f(x) or g(x), x years after 1950. Use these functions to solve Exercises 75–76.
Which function is a better model for the percentage who were college graduates in 2009?
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Chapter 4 Solutions
Algebra and Trigonometry
- The file P02_26.xlsx lists sales (in millions of dollars) of Dell Computer during the period 1987–1997 (where year 1 corresponds to 1987). Year Sales 1 69 2 159 3 258 4 389 5 546 6 890 7 2014 8 2873 9 3475 10 5296 11 7759 a. Fit a power and an exponential trend curve to these data. Which fits the data better? b. Use your part a answer to predict 1999 sales for Dell. c. Use your part a answer to describe how the sales of Dell have grown from year to year.arrow_forwardDrag the three points so they simultaneously follow both a LINEAR pattern and an EXPONENTIAL patternarrow_forwardThe graphs below give the diabetes mortality rate for countries with low per capita income and countries with high per capita income.arrow_forward
- Marriage Rate The marriage rate per 1000 unmarried women for the years 1987–2014 is given by 132x + 1000y = 9570 where x is the number ofyears after 1980.a. Find the x-intercept of the graph of this function. b. Find and interpret the y-intercept of the graph ofthis function.c. Graph this function, using the intercepts.(Source: National Vital Statistics Report)arrow_forwardThe Pennsylvania State University had enrollments of 40,571 students in 2000 and 41,289 students in 2004 at its main campus in University Park, Pennsylvania. Assuming the enrollment growth is linear, predict the enrollments in 2008 and 2010.arrow_forwardThe revenue for Google for the years 2010–2014 is shown in the following table (Wallstreet Journal, August 2014). Deflate the revenue in dollars based on the CPI (1982–1984base period). Comment on the company’s revenue in deflated dollars. Year Revenue ($ billions) CPI2010 29.3 218.12011 37.9 224.92012 50.2 229.62013 59.8 233.02014 66.7 236.7arrow_forward
- The bar graph shows that life expectancy, the number of years newborns are expected to live, in a particular region has increased dramatically since ancient times. Find the percent increase in average life expectancy of the region from the Stone Age to 2016. 80- 70- 60- 71 62 51 50- 40- 31 33 30 30- 26 20- 10- Ancient Middle Greece Ages 1950 Stone Age 1980 2016 1900 Time Period/Year (Round to the nearest integer as needed.) Average Life Expectancy (years)arrow_forwardThe population dynamics of many fish are characterized by extremely high fertility rates among adults and very low survival rates among the young. A mature halibut may lay as many as 2.5 million eggs, but only 0.00035% of the offspring survive to the age of 3 years. Use scientific form to approximate the number of offspring that live to age 3.arrow_forwardThe index of 1992 is 100. It rises by 5% in 1993, falls 2% in 1994, rises 40% in 1995, rises 10% in 1996, falls 3% in 1997 and rises 8% in 1998. Find out the indices for the 7 years assuming that all the increases and decreases are the percentages of the respective preceding years. Also recast the indices shifting the base to 1996. CS Scanned with CamScannerarrow_forward
- Why is the data lognormalarrow_forwardForecast the percentage of tax returns that will be electronically filed for 2010 using exponential smoothing with α=0.1.arrow_forwardWhich data set is exponential? (0, 0.1), (1, 0.5), (2, 2.5), (3, 12.5) (0, -1), (1, 0), (2, 7), (3, 20) (0, -1), (1, 0.5), (2, 2), (3, 3.5) (0, -1), (1, 2), (2, 11), (3, 26)arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning