Concept explainers
Household liability. The total financial liability, in billions of dollars, of U.S. households can be modeled by
a. Using this model, predict the total financial liability of U.S. households in 2012.
b. Find
c. Interpret the meaning
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Calculus and Its Applications (11th Edition)
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus (10th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
- The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.arrow_forwardTable 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?arrow_forwardTable 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?arrow_forward
- Can the average rate of change of a function be constant?arrow_forwardWhat is the y -intercept on the graph of the logistic model given in the previous exercise?arrow_forwardA driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?arrow_forward
- Table 3 gives the annual sales (in millions of dollars) of a product from 1998 to 20006. What was the average rate of change of annual sales (a) between 2001 and 2002, and (b) between 2001 and 2004?arrow_forwardDetermine whether Table 1 could represent a function that is linear, exponential, or neither. If it appears to beexponential find a function that passes through the points.arrow_forward9. A car loses value each year. The value of the car t years from today can be modeled using the 1 function (t) = 15,000(0.85). If Elizabeth wants to sell her car in 2- years, what will the car's %3D 3 value be when she sells it?arrow_forward
- The tuition at a public university was $21,000 in 2008. Between 2008 and 2010, the tuition had increased by 15%. Since then, it has continued to grow exponentially. Select all statements that describe the growth in tuition cost. А: The tuition cost can be defined by the function f (y) = 21, 000 · (1.15)3, where represents years since 2008. B: The tuition cost increased 7.5% each year. C: The tuition cost increased about 7.2% each year. D: The tuition cost roughly doubles in 10 years. E: The tuition cost can be approximated by the function f (d) = 21,000 - 24, where d represents decades since 2008.arrow_forwardAssume S=0.6Y+19 describes the projected relationship between S , sales of a company (in millions of dollars), for Y years from today. What would be the projected company sales in three years?arrow_forwardA chemical processing plant must monitor a certain liquid substance in a batch of product they make. The substance is transferred from one tank into another in the manufacturing process and the rate of flow must be tracked. The function h(x) = 20(0.75)^x describes the height of the liquid in feet still remaining in the tank t minutes after the exit valve was tripped. a. Using the equation above, find the average rate of change in the height for the first 3 minutes. b. Estimate the instantaneous rate of change in the height at 5 minutes and illustrate this value on a graph. c. Interpret your answer to part b. within the context of the problem.arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt