Concept explainers
Straight-line Depreciation Suppose that a company has just purchased a new computer for . The company chooses to depreciate the computer using the straight-line method over 3 years.
a. Write a linear model that expresses the book value of the computer as a function of its age .
b. What is the implied domain of the function found in part (a)?
c. Graph the linear function.
d. What is the book value of the computer after 2 years?
e. When will the computer have a book value of ?
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Precalculus Enhanced with Graphing Utilities, Books a la Carte Edition Plus NEW MyLab Math -- Access Card Package (7th Edition)
Additional Math Textbook Solutions
Calculus: Early Transcendentals (2nd Edition)
University Calculus: Early Transcendentals (3rd Edition)
Glencoe Math Accelerated, Student Edition
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
- An outpatient operating room charges each patient a fixed amount per surgery plus an amount per minute for use. One patient was charged 250 for a 30-minute surgery and another patient was charged 450 for a 90-minute surgery. Determine the linear function that would be used to compute the charges. Use the function to determine the charge when a patient has a 45-minute surgery.arrow_forwardManufacturing Cost The manager of a furniture factory finds that it costs 2200 to produce 100 chairs in one day and 4800 to produce 300 chairs in one day. a Assuming that the relationship between cost and the number of chairs produced is linear, find a linear function C that models the cost of producing x chairs in one day. b Draw a graph of C. What is the slope of this line? c At what rate does the factorys cost increase for every additional chair produced?arrow_forwardManufacturing Cost The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $4800 to produce 300 chair in or day. (a) Assuming that the relationship between cost and the number of chair’ produced is linear, find a linear function C that models the cost of producing x chair’s in one day. (b) Draw a graph of C. What is the slope of this line? (c) At what rate does the factory’s cost increase for every additional chair produced?arrow_forward
- A phone company has a monthly cellular data plan where a customer pays a flat monthly fee of $10 andthen a certain amount of money per megabyte (MB)of data used on the phone. If a customer uses 20 MB,the monthly cost will be $11.20. Ifthe customer uses130 MB, the monthly cost will be $1180. a. Find a linear equation for the monthly cost of thedata plan as a function of x, the number of MB used. b. Interpret the slope and y-intercept of the equation. c. Use your equation to find the total monthly cost if 250 MB are used.arrow_forwardHigh School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year. Year Number graduating in millions 1985 2.83 1987 2.65 1989 2.47 1991 2.29 a. By calculating difference, show that these data can be modeled using a linear function. b. What is the slope for the linear function modeling high school graduations? Explain in practical terms the meaning of the slope. c. Find a formula for a linear function that models these data. d. Express, using functional notation, the number graduating from high school in 1994, and then use your formula from part c to calculate that value.arrow_forwardA phone company has a monthly cellular plan where a customer pays a flat monthly fee and thena certain amount of money per minute used on thephone. If a customer uses 410 minutes, the monthly cost will be $71.50. If the customer uses 720 minutes,the monthly cost will be $118. a. Find a linear equation for the monthly cost of thecell plan as a function of x, the number of monthly minutes used. b. Interpret the slope and y-intercept of the equation. c. Use your equation to find the total monthly cost if687 minutes are used.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningIntermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt