19. What is the slope of the segment shown for a staircase with10-inch treads and 7.75-inch risers? As you walk up (or down)the stairs, your vertical distance from the floor is a linear functionof your horizontal distance from the point on the floor where youstarted. Is the function discrete or continuous? Explain.RiserTread20. The Mount Washington Cog Railway in New Hampshire isone of the steepest cog railways in the world. A section of therailway has a slope of approximately 0.37. In this section, a vertical change of 1 unitcorresponds to a horizontal change of what length? Round your answer to the nearesthundredth.21. a. Biology The table shows how the number of cricket chirps per minute changeswith the air temperature.5060708090Temperature (°F)408012016020040Chirps per minuteFind the rates of change.b. Is the graph of the data a line? If so, what is theslope? If not, explain why not.Lesson 3230Module 5Lesson 3O Houghton Mifflin Harcourt Publishing Company Image Credits: Oalexsvirid/Shutterstock

Answered: Image /qna-images/answer/ab57ca12-44de-407a-8252-b06ef1c10721.jpg

19. What is the slope of the segment shown for a staircase with 10-inch treads and 7.75-inch risers? As you walk up (or down) the stairs, your vertical distance from the floor is a linear function of your horizontal distance from the point on the floor where you started. Is the function discrete or continuous? Explain. Riser Tread Hompchire is

19. What is the slope of the segment shown for a staircase with 10-inch treads and 7.75-inch risers? As you walk up (or down) the stairs, your vertical distance from the floor is a linear function of your horizontal distance from the point on the floor where you started. Is the function discrete or continuous? Explain. Riser Tread Hompchire is

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.3: Modeling Data With Linear Functions

Problem 16E: High School Graduates The following table shows the number, in millions, graduating from high school...

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Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable x, that gives the amount of money, y, you will earn for working x hours in one week. b. Use the function rule you have written in part (a) to complete Table 4. c. Construct a line graph from the information in Table 4. d. State the domain and range of this function.
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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.
Why does the horizontal line test tell us whether the graph of a function is one-to-one?