Concept explainers
Applying What You’ve Learned
Movie attendance. Dreamworks movie studio tries to release a “blockbuster” movie each summer. Assume that these statistics describe ticket sales for such a movie:
Week 2: 5 million tickets sold
Week 4: 7 million tickets sold
Week 6: 8 million tickets sold
We did quadratic regression to find that
a. Show that the graph of this equation passes through the three data points regrading attendance.
b. According to this model, what is the maximum value that A can attain?
Want to see the full answer?
Check out a sample textbook solutionChapter 7 Solutions
Mathematics All Around (6th Edition)
- TEST FOR UNDERSTANDING FOR EXAMPLE 5.16 In the study Economics of Scale in High School Operation by J. Riew, the author studied data from the early 1960s on expenditures for high schools ranging from 150 to 2400 enrollment. The data he observed were similar to those in the table below. n=enrollment 200 600 1000 1400 1800 C=costperstudent,indollars 667.4 545.0 461.0 415.4 408.2 Model these data using a quadratic function. Round regression parameters to four decimal places. According to this model, what enrollment produces the minimum cost per student?arrow_forwardAlligators Refer to Exercise 93. If an alligator weighs 125 pounds, what is its approximate length? Round to the nearest inch. 93. Alligators The length in inches and weight in pounds of 25 alligators is shown in the table. Find the quadratic function that best fits the data. Round a,b, and c to six decimal places. Use the regression function to estimate the weight of an alligator that is 130 inches long. Round the weight to the nearest pound. Length Weight Length Weight Length Weight 94 130 72 38 90 106 74 51 128 366 89 84 147 640 85 84 68 39 58 28 82 80 76 42 86 80 86 83 114 197 94 110 88 70 90 102 63 33 72 61 78 57 86 90 74 54 69 36 61 44arrow_forwardAlligators The length in inches and weight in pounds of 25 alligators is shown in the table. Find the quadratic function that best fits the data. Round a,b, and c to six decimal places. Use the regression function to estimate the weight of an alligator that is 130 inches long. Round the weight to the nearest pound. Length Weight Length Weight Length Weight 94 130 72 38 90 106 74 51 128 366 89 84 147 640 85 84 68 39 58 28 82 80 76 42 86 80 86 83 114 197 94 110 88 70 90 102 63 33 72 61 78 57 86 90 74 54 69 36 61 44arrow_forward
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage