Concept explainers
(a)
To calculate: The instantaneous rate of change of function
(b)
To calculate: The instantaneous rate of change of total national health care expenditures in 2012 and 2020 and interpret it. The model function
(c)
To calculate: The average rate of change from 2018 to 2020 that approximates the instantaneous rate of change for 2020. The model function that these data can be modeled with the function
Want to see the full answer?
Check out a sample textbook solutionChapter 9 Solutions
WebAssign with Corequisite Support for Harshbarger/Reynolds/Karr/Massey's Mathematical Applications for the Management, Life, and Social Sciences, 12th Edition [Instant Access], Single-Term
- Find the mean hourly cost when the cell phone described above is used for 240 minutes.arrow_forwardPlease solve the problemarrow_forwardMonth January February March April May June July August September October November December Year 2016 2017 2018 $1,468 $1,386 $1,271 727 719 709 778 713 687 691 707 729 781 704 669 1,374 997 689 703 709 734 710 787 727 701 1,524 1,364 1,064 986 715 741 742 768 1,256 1,157 1,259 Click here for the Excel Data File 2019 $1,144 666 685 c. Which forecasting model is appropriate based on the data for the total U.S. bookstore sales? Appropriate model Regression analysis d. Evaluate a seasonally adjusted trend forecasting model. What is the MAD? (Round your answers to 4 decimal places.)arrow_forward
- HOW DOES SPRUCE, PINE, AND FIR PRODUCTION VARY MONTHLY IN CANADA? Geography Canada (map) Janua Febru North American Product Classification ary March April May June July Augus September October System (NAPCS) 2022 2022 2022 2022 2022 2022 2022 2022 2022 ry 2022 Spruce, pine and fir, production5 Cubic metres 3,772. 3,727. 4,279. 3,782. 3,957. 3,803. 3,136. 3,622. 3,728.9 3,703.9A 4A 3A 2A 7A 5A 1A 7A 7A Make a hypothesis about the expected result of your research (related to your inquiry question). • Create analytical research questions (at least 10) that will allow you to deepen your research.arrow_forwardB and carrow_forwardPark City, Utah was settled as a mining community in 1870 and experienced growth until the late 1950s when the price of silver dropped. In the past 40 years, Park City has experienced new growth as a thriving ski resort. The population data for selected years between 1900 and 2009 are given below. Park City, Utah Year 1900 1930 1940 1950 1970 1980 1990 2000 2009 Population 3759 4281 3739 2254 1193 2823 4468 7341 11983 (a) What behavior of a scatter plot of the data indicates that a cubic model is appropriate? O a change in concavity and neither a relative maximum nor a relative minimum O a change in concavity and both a relative maximum and a relative minimum O no change in concavity and an absolute minimum O no change in concavity and an absolute maximum (b) Align the input so that t = 0 in 1900. Find a cubic model for the data. (Round all numerical values to three decimal places.) p(t) = (c) Numerically estimate the derivative of the model in 2007 to the nearest hundred. p'(107) =…arrow_forward
- South Shore Construction builds permanent docks and seawalls along the southern shore of Long Island, New York. Although the firm has been in business only five years, revenue has increased from $304,000 in the first year of operation to $1,094,000 in the most recent year. The following data show the quarterly sales revenue in thousands of dollars. Quarter Year 1 Year 2 Year 3 Year 4 Year 5 1 25 28 68 94 179 2 90 138 151 199 274 3 176 255 324 385 451 4 13 18 42 74 190arrow_forwardPlease answer C. and D. Palisades Eco-Park is a small ecological reserve that admits a relatively small number of visitors on any day, but provides both educational and entertaining lectures, exhibitions, and opportunities to observe nature. The company has collected the following data on labor costs and number of visitors to the park over the last 30 months. Month Labor Cost Visitors 1 $ 25,820 1,700 2 $ 36,290 2,592 3 $ 39,968 2,811 4 $ 31,648 2,222 5 $ 34,809 2,373 6 $ 32,672 2,181 7 $ 32,023 2,205 8 $ 38,334 2,676 9 $ 38,568 2,760 10 $ 46,933 3,572 11 $ 42,157 2,976 12 $ 39,030 2,804 13 $ 34,444 2,415 14 $ 33,173 2,336 15 $ 36,971 2,508 16 $ 26,500 2,099 17 $ 30,663 3,397 18 $ 29,961 2,786 19 $ 27,590 2,412 20 $ 30,003 2,972 21 $ 25,692 2,000 22 $ 24,655 1,794 23 $ 28,892 3,267 24 $ 30,153 3,817 25 $ 28,119 2,592 26 $ 31,690 3,274 27 $ 28,651 2,989 28 $ 29,927 3,050 29 $ 28,438 2,511 30 $ 27,874 2,075…arrow_forwardSouth Shore Construction builds permanent docks and seawalls along the southern shore of Long Island, New York. Although the firm has been in business only five years, revenue has increased from $308,000 in the first year of operation to $1,084,000 in the most recent year. The following data show the quarterly sales revenue in thousands of dollars. O 8 Sales ($1,000s) Sales ($1,000s) Quarter Year 1 Year 2 Year 3 Year 3 37 75 Sales ($1,00 (a) Construct a time series plot. 500T 450- 500 450 1 2 3 400 350- 300+ 250 200+ 150- 100 50 50- 0 4 400 350- 300+ 250 200- 150+ 100- 0 50 5001 450 400 350 300+ 250 200- 150- 100 50 0 500- 450- 400- 350+ 300+ 250 200 150- 100+ 20 of 100 175 13 1 2 3 4 Year 1 1 2 3 4 Year 1 136 245 26 155 326 48 M Year 3 Year/Quarter Year Year 4 Year 5 4 92 202 384 1 2 3 41 2 3 4 1 2 341234 Year 2 Year 4 Year 5 82 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 Year 2 Year 4 Year 5 Year 3 Year/Quarter 282 1 2 3 4 1 2 341 2 3 4 1 2 341234 Year 1 Year 2 Year 3 Year 4 Year 5 Year/Quarter…arrow_forward
- The total amount of consumer credit has been increasing steadily in recent years. The following table gives the total outstanding consumer credit (in billions of dollars). Answer parts (a) through (e) below. Year 2004 2005 2006 2007 2008 Consumer Credit 2210.5 2303.8 2415.0 2540.9 2592.1 Year 2009 2010 2011 2012 2013 Consumer Credit 2557.5 2643.1 2759.0 2926.3 3094.2 a. Find an equation for the least squares line, letting x equal the number of years since 2000. The equation is Y=x+ (Use integers or decimals for any numbers in the equation. Round to two decimal places as needed.)arrow_forwardBuilding Year of sale 1 2005 1 2005 2 2007 2007 2004 2007 2007 2008 2008 2008 ID Property # Area (ft.) Price 1030 11 Apartment 30 743.09 $ 246,172.68 1029 10 Apartment 29 756.21 $ 246,331.90 2002 7 Apartment 2 587.28 $ 209,280.91 2031 12 Apartment 31 1604.75 $ 452,667.01 1049 11 Apartment 49 1375.45 $ 467,083.31 3011 9 Apartment 11 675.19 $ 203,491.85 3026 9 Apartment 670.89 $ 212,520.83 3023 1 Apartment 720.81 $ 198,591.85 1031 6 Apartment $ 265,467.68 782.25 794.52 4023 3 Apartment $ 235,633.26 Customer Entity Name Surname Interval Gender Country State ID C0028 Individual Madalyn Mercer 19 18-25 F USA California Home C0027 Individual Lara Carrillo 22 18-25 F USA California Home C0112 Individual Donavan Flowers 22 18-25 M USA California Home C0160 Individual Darien Dorsey 22 18-25 M USA California Investment C0014 Individual Alessandra Perry 25 18-25 F USA California Home C0125 Individual Kaitlin Owen 26 26-35 F USA Virginia Investment C0125 Individual Kaitlin Owen 26 26-35 F USA…arrow_forwardUse the table to answer the following questions. Year U.S population (millions) Traffic fatalities Licensed drivers(millions) Vehicle-miles (trillions) 1995 263 41,817 177 2.4 2015 321 35,092 218 3.1 Find and compare death rates per person and per 100,000 people for traffic fatalities per two years. Express the 1995 and 2015 fatality rates in deaths per100 million vehicle-miles traveled. Express the 1995 and 2015 fatality rates in deaths per 100,000 population. Express the 1995 and 2015 fatality rates in deaths per 100,000 licensed driversarrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning