Concept explainers
Magazine Circulation: The circulation C of a certain magazine as a function of time t is given by the formula
Here C is measured in thousands, and t is measured in years since the beginning of 2006, when the magazine was started.
a. Make a graph of C versus t covering the first 6 years of the magazine’s existence.
b. Express using functional notation the circulation of the magazine 18 months after it was started, and then find that value.
c. Over what time interval is the graph of C concave up? Explain your answer in practical terms.
d. At what time was the circulation increasing the fastest?.
e. Determine the limiting value for C. Explain your answer in practical terms.
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
EBK FUNCTIONS AND CHANGE: A MODELING AP
Additional Math Textbook Solutions
Algebra and Trigonometry
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
College Algebra: Graphs and Models (6th Edition)
Elementary Linear Algebra: Applications Version
College Algebra
Differential Equations and Linear Algebra (4th Edition)
- Ceramics When the temperature of a pot in a kiln is 1200, an artist turns off the heat and leaves the pot to cool at a controlled rate of 18 per hour. Express the temperature of the pot in degrees Celsius as a function of the time t in hours since the kiln was turned off.arrow_forwardLIFE SCIENCE APPLICATIONS APPLY IT Splenic Artery Resistance Blood flow to the fetal spleen is of research interest because several diseases are associated with increased resistance in the splenic artery the artery that goes to the spleen. Researchers have found that the index of splenic artery resistance in the fetus can be described by the function y=0.057x0.001x2, where x is the number of weeks of gestation. Source: American Journal of Obstetrics and Gynecology. a. At how many weeks is the splenic artery resistance a maximum? b. What is the maximum splenic artery resistance? c. At how many weeks is the splenic artery resistance equal to 0, according to this formula? Is your answer reasonable for this function? Explain.arrow_forwardAn 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_forward
- Intermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Glencoe 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 LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning