Concept explainers
Olympic 5000-Meters The accompanying graph shows the winning time (in minutes) at the Olympic Games from 1952 to 2016 for the men's 5000-meterrun, together with a linear approximation of these data. (Data from: The WorldAlmanac and Book of Facts: 2017.)
The equation for the linear approximation is
Employee Health Costs In the year 2010, the average annual cost to employees for employer family health coverage was approximately$3500. In 2015, that amount was approximately $5000. (Data from: The Wall Street Journal.)
a. Write a linear equation expressing the average annual cost to employees y in terms of the number of years x after 2000.
b. What was the average annual cost in 2014?
c. If the trend continues, what will be the first full year in which costs exceed $6000?
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Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
- The number y (in thousands) of male participants in high school lacrosse in the United States from 2008 through 2015 can be approximated by the linear model y=3.66t+91.4,2t5 where t represents the year, with t=0 corresponding to 2010. (a) Find algebraically and interpret the y-intercept of the graph of the linear model. (b) Use the linear model to predict the year in which there will be 128,000 male participants.arrow_forwardDemand for Candy Bars In this problem you will determine a linear demand equation that describes the demand for candy bars in your class. Survey your classmates to determine what price they would be willing to pay for a candy bar. Your survey form might look like the sample to the left. a Make a table of the number of respondents who answered yes at each price level. b Make a scatter plot of your data. c Find and graph the regression line y=mp+b, which gives the number of respondents y who would buy a candy bar if the price were p cents. This is the demand equation. Why is the slope m negative? d What is the p-intercept of the demand equation? What does this intercept tell you about pricing candy bars? Would you buy a candy bar from the vending machine in the hallway if the price is as indicated. Price Yes or No 50 75 1.00 1.25 1.50 1.75 2.00arrow_forward
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