Concept explainers
Mixed Practice Online Advertising Revenue The data in the table below represents the U.S. online advertising revenues for the years
Source: marketingcharts.com
Using a graphing utility, draw a
Based on the scatter plot drawn in part (a), decide what model (linear, quadratic, cubic, exponential, logarithmic, or logistic) that you think best describes the relation between year and revenue.
Using a graphing utility, find the model of the best fit.
Using a graphing utility, graph the function found in part (c) on the scatter plot drawn in part (a).
Use your model to predict the online advertising revenue in
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
Precalculus
- Work The work W required to lift an object varies jointly with the object’s mass m and the height h that the object is lifted. The work required to lift a 120-kilogram object 1.8 meters is 2116.8 joules. Find the amount of work required to lift a 100-kilogram object 1.5 meters.arrow_forwardHearing Loss from MP3 Players Recent research has shown that the use of earbud-style headphones packaged with MP3 players can cause permanent hearing loss. a The intensity of the sound from the speakers of a certain MP3 player without earbuds is measured at 3.1105W/m2. Find the decibel level. b If earbuds are used with the MP3 player in part a, the decibel level is 95 dB. Find the intensity. c Find the ratio of the intensity of the sound from the MP3 player with earbuds to that of the sound without earbuds.arrow_forwardSpeed of Sound in the North Atlantic The speed of sound in ocean water is 1148.94meterspersecond, provided that the ocean water has a salinity of 35 35partsperthousand, the temperature it 0degreesCelsius, and the measurement is taken at the surface. If any one of these three factors varies, the speed of sound also changes. Different oceans often differ in salinity. In the North Atlantic Central Water the main body of water for the northern half of the Atlantic Ocean, the salinity can be determined from the temperature, so the speed of sound depends only on temperature and depth. A simplified polynomial formula for velocity in this body of water is V=1447.733+4.7713T0.05435T2+0.0002374T3+0.0163D+1.675107D27.1391013TD3 Here V is the speed of sound in meters per second, T is the water temperature in degrees Celsius, and D is depth in meters. This formula is valid for depths up to 8000 meters and for temperatures between 0 and 30 degrees Celsius. a. What type of polynomial is V as a function of T alone? Of D alone? b. For a fixed depth of 1000meters, write the formula for V in terms of T alone. c. Graph V as a function of T for the fixed depth of 1000meters. d. What is the concavity of the graph from part c? What does this imply about the speed of sound at that depth as temperature increases?arrow_forward
- pH of Saliva The pH of saliva is normally in the range of 6.4 to 7.0. However, when a person is ill, the persons saliva becomes more acidic. a When Marco is sick, he tests the pH of his saliva and finds that it is 5.5. What is the hydrogen ion concentration of his saliva? b Will the hydrogen ion concentration in Marcos saliva increase or decrease as he gets better? c After Marco recovers, he tests the pH of his saliva, and it is 6.5. Was the saliva more acidic or less acidic when he was sick?arrow_forwardThe Kelvin Temperature Scale Physicists and chemists often use the Kelvin temperature scale. In order to determine the relationship between the Fahrenheit and Kelvin temperature scales, a lab assistant put Fahrenheit and Kelvin thermometers side by side and took readings at various temperatures. The following data were recorded. K = kelvins F = degrees Fahrenheit 200 -99.67 220 -63.67 240 -27.67 260 8.33 280 44.33 300 80.33 a. Show that the temperature F in degrees Fahrenheit is a linear function of the temperature K in kelvins. b. What is the slope of this linear function? Note: Be sure to take into account that the table lists kelvins in jumps of 20 rather than in jumps of 1. c. Find a formula for the linear function. d. Normal body temperature is 98.6 degrees Fahrenheit. What is that temperature in kelvins? e. If temperature increases by 1 kelvin, by how many degrees Fahrenheit does it increase? If temperature increases by 1 degree Fahrenheit, by how many kelvins does it increase? f. The temperature of 0 kelvins is known as absolute zero. It is not quite accurate to say that all molecular motion ceases at absolute zero, but at that temperature the system has its minimum possible total energy. It is thought that absolute zero cannot be attained experimentally, although temperatures lower than 0.0000001 kelvin have been attained. Find the temperature of absolute zero in degrees Fahrenheit.arrow_forwardMarket supply The following table shows the quantity S of wheat, in billions of bushels, that wheat supplies are willing to produce in a year and offer for sale at a price P, in dollars per bushel. S = quantity of wheat P = price 1.0 1.35 1.5 2.40 2.0 3.45 2.5 4.50 In economics, it is customary to plot S on the horizontal axis and P on the vertical axis, so we will think of S as a variable and of P as a function of S. a. Show that these data can be modeled by a linear function, and find its formula. b. Make a graph of the linear formula you found in part a. This is called the market supply curve. c. Explain why the market supply curve should be increasing. Hint: Think about what should happen when the price increases. d. How much wheat would suppliers be willing to produce in a year and offer for sale at a price of 3.90 per bushel?arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning