Wing a functon rule given a table of ordered pairs: Two-step.A table of values of a linear function is shown below. Find the output when the Input is n. Type your answer in the space provided.Input3.O-0output-1ExplanationCheck2022 McGraw H LLC ARights Reserved Terms of Use Pr60000000758067&plo 2

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Answered: A table of values of a linear function…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter3: Linear And Nonlinear Functions

Section3.7: Piecewise And Step Functions

Problem 43PFA

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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
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.
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
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.
Dropping Rocks on Mars The behavior of objects falling near Earths surface depends on the mass of Earth. On Mars, a much smaller planet than Earth, things are different. If Galileo had performed his experiment on Mars, he would have obtained the following table of data. t = seconds V = feet per second 0 0 1 12.16 2 24.32 3 36.48 4 48.64 5 60.8 a. Show that these data can be modeled by a linear function, and find a formula for the function. b. Calculate V10 and explain in practical terms what your answer means. c. Galileo found that the acceleration due to gravity of an object falling near Earths surface was 32 feet per second per second. Physicists normally denote this number by the letter g. If Galileo had lived on Mars, what value would he have found for g?
TEST YOUR UNDERSTADING FOR EXAMPLE 3.3 The State of New York also has an income tax. The tax table for New York shows that a single New York resident with a taxable income of 15,000 owes 671 in New York income tax. If the taxable income is 15,500, then the table shows a tax liability of 701. Assume that the state tax is a linear function of taxable income, and find the tax owed if the taxable income is 15,350. EXAMPLE 3.3 OKLAHOMA INCOME TAX The amount of income tax T=T(l), in dollars, owed to the state of Oklahoma is a linear function of the taxable income l, in dollars, at least over a suitably restricted range of incomes. According to the Oklahoma Income Tax table for the year 2015, a single Oklahoma resident taxpayer with a taxable income of 15,000 owes 579 in Oklahoma income tax. In functional notation, this is T(15,000)=579. If the taxable income is 15,500, then the table shows a tax liability of 605. Part 1 Calculate the rate of change in T with respect to I, and explain in practical terms what it means. Part 2 How much does the taxpayer owe if the taxable income is 15,350?
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A table of values of a linear function is shown below. Find the output when the Input is n. Type your answer in the space provided. Input 1 2. 3 4 D-0 output -1 2 5 8