Concept explainers
Cost of Transporting Goods A trucking company transports goods between Chicago and New York, a distance of 960 miles. The company’s policy is to charge, for each pound, per mile for the first 100 miles, per mile for the next 300 miles, per mile for the next 400 miles, and no charge for the remaining 160 miles.
(a) Graph the relationship between the cost of transportation in dollars and mileage over the entire 960-mile route.
(b) Find the cost as a function of mileage for hauls between 100 and 400 miles from Chicago.
(c) Find the cost as a function of mileage for hauls between 400 and 800 miles from Chicago.
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
Precalculus Enhanced with Graphing Utilities, Books a la Carte Edition Plus NEW MyLab Math -- Access Card Package (7th Edition)
- Life Expectancy Versus Health Care Spending One article shows a relationship between per capita health care spending h, in thousands of U.S. dollars per person per year, and life expectancy E, in years. The following formula is adapted from that article: E=72.23+3.85h0.37h2 We should point out that this article includes no justification for the type of model used. a.Plot the graph E versus h. Include spending levels from 1000 to 9000 per person per year so a horizontal span of 1 to 9. b. According to this model, what health care expenditure corresponds to maximum longevity? Round your answer in thousands of dollars per person per year to two decimal places. c.What optimum life expectancy is given by this model? For comparison, in 2011, in the United States, per capita health care spending was 8745 and life expectancy was 78.7 years.arrow_forwardTEST TOUR UNDERSTANDING FOR EXAMPLE 2.3 Suppose a company has 15 worker and always produces 1000 items per day. Union agreements limit working time for each employee to no more than 10 hours per day. Make a graph of labor productivity versus hours worked per employee per day. In this setting, when the number of hours worked increases, does productivity increase or decrease?arrow_forwardMathematical Models In Exercises 9 and 10, (a) plot the actual data and the model of the same graph and (b) describe how closely the model represents the data. If the model does not closely represent the data, suggest another type of model that may be a better fit. The ordered pairs below give the civilian non-institutional U.S. populations y (in millions of people) 16 years of age and over not in the civilian labor force from 2006 through 2014. 2006,77.42011,86.02007,78.72012,88.32008,79.52013,90.32009,81.72014,92.02010,83.9 A model for the data is y=1.92t+65.0,6t14, where t represents the years, with t=6 corresponding to 2006.arrow_forward
- Constant Velocity When the graph of directed distance is a straight line, what can be said about the graph of velocity?arrow_forwardSales Barnes & Noble had annual sales of $6.8 billion in 2013 and $6.1 billion in 2015. Use the Midpoint Formula to estimate the sales in 2014. Assume that the annual sales followed a linear pattern.arrow_forwardMathematical Models In Exercises 9 and 10, (a) plot the actual data and the model of the same graph and (b) describe how closely the model represents the data. If the model does not closely represent the data, suggest another type of model that may be a better fit. The ordered pairs below give the revenues y (in billions of dollars) for Activision Blizzard, Inc., from 2008 through 2014. 2008,3.032012,4.862009,4.282013,4.582010,4.452014,4.412011,4.76 A model for the data is y=0.184t+2.32,8t14, where t represents the year, with t=8 corresponding to 2008.arrow_forward
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning