Please help ial form)11iThe table shows the percent y (in decimal form) of battery power remaining x hours after you turn on alaptop computer.Hours, x0.4Power Remaining, y 1.0 0.6 0.2a. Write and graph a linear function that relates y to x.y=Line< UndoA Redox Reset1.2...000Check8 9 101112 13NEXTPREV?Help...P Type here to search Power remaining000000画CALCULA11i0.60.40.212467Hoursb. Interpret the slope, the x-intercept, and the y-intercept.The slope indicates that the power decreases by% per hour. The x-intercept indicates that the batterylastshours. The y-intercept indicates that the battery power is at% when you turn on the laptop.C. After how many hours is the battery power at 75%?hoursCheck?HelpPREV8910111213NEXT...P Type here to search

Name: Please help ial form)11iThe table shows the percent y (in decimal form
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Description: Please help ial form)11iThe table shows the percent y (in decimal form) of battery power remaining x hours after you turn on alaptop computer.Hours, x0.4Power Remaining, y 1.0 0.6 0.2a. Write and graph a linear function that relates y to x.y=Line< Un

a. Let the required function be y=m·x+c, where m is slope and c is y-intercept. Since, for x=0,…

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Calculus

The table shows the percent y (in decimal form) of battery power remaining x hours after you turn on a laptop computer. Hours, x 2 4 Power Remaining, y 1.0 0.6 0.2 a. Write and graph a linear function that relates y to x. y =

The table shows the percent y (in decimal form) of battery power remaining x hours after you turn on a laptop computer. Hours, x 2 4 Power Remaining, y 1.0 0.6 0.2 a. Write and graph a linear function that relates y to x. y =

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 2P: Demand for Soft Drinks A convenience store manager notices that sales of soft drink are higher on...

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Demand for Soft Drinks A convenience store manager notices that sales of soft drink are higher on hotter days, so he assembles the data in the table. (a) Make a scatter plot of the data. (b) Find and graph a linear function that models the data. (c) Use the model to predict soft drink sales if the temperature is 95F
The table shows the temperatures y (in degrees Fahrenheit) in a city over a 24-hour period. Let x represent the time of day, where x=0 corresponds to 6 a.m. These data can be approximated by the model y=0.026x31.03x2+10.2x+34,0x24. (a) Use a graphing utility to create a scatter plot of the data. Then graph the model in the same viewing window. (b) How well does the model fit the data? (c) Use the graph to approximate the times when the temperature was increasing and decreasing. (d) Use the graph to approximate the maximum and minimum temperatures during this 24-hour period. (e) Could this model predict the temperatures in the city during the next 24-hour period? Why or why not?
High 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.
Tuition at American Public Universities This is a continuation of Exercise 6. The following table shows the average yearly in-state tuition and required fees, in dollars, charged by four-year American public universities in the school year ending in the given year. Date Average tuition 2012 8318 2013 8595 2014 8872 2015 9149 2016 9426 a. Show that these data can be modeled by a linear function, and find its formula. b. What is the slope for the linear function modeling tuition and required fees for public universities? c. What is the slope of the linear function modeling tuition and required fees for private universities? Note: See Exercise 6. d. Explain what the information in parts b and c tells you about the rate of increase in tuition in public versus private institutions. e. Which type of institution shows the larger percentage increase from 2015 to 2016? 6. Tuition at American Private Universities The following table shows the average yearly tuition and required fees, in dollars, charged by four-year American private nonprofit universities in the school year ending in the given year. Date Average tuition 2012 27, 870 2013 29, 004 2014 30, 138 2015 31, 272 2016 32, 406 a. Show that these data can be modeled by a linear function, and find its formula. b. Plot the data points and add the graph of the linear formula you found in part a. c. What prediction does this formula give for average tuition and fees at four-year American private nonprofit universities for the academic year ending in 2021?
Demand for Soft Drinks A convenience stores manager notices that sales of soft drinks are higher on hotter days, so he assembles the data in the table. a Make a scatter plot of the data. b Find and graph a linear function that models the data. c Use the model to predict soft drink sales if the temperature is 95. High temperature Number of cans sold 55 340 58 335 64 410 68 460 70 450 75 610 80 735 84 780
Price of Amazons Kindle The following table shows the price of Amazons Kindle 2 e-book reader. It is adapted from data available on the web. Here time is measured in months since February 2009, when the Kindle was launched. Time Price 0 349 5 299 10 249 15 199 a. By calculating differences, show that these data can be modeled using a linear function. b. Find a linear formula that models these data. Be careful about the sign of the slope. c. What price does your formula from part b project for January 2012 35 months after the Kindle was launched? Note: The web data were the basis for speculation that some day the Kindle would be free.