We can construct linear functions for a given graph, table of values, or verbal description using these parameters. What are the parameters? Constructed Function Given Information Example 3: The water company that serves St. George Island charges a base facity fee of $32.00 each month In addition, they charge $8.53 per kilogallon (1000 gallons) of water used. Write a function that can be used to calculate the monthly charge for water service when x kilogalons of water are used. Example 4. The table displays several ordered pairs generated by the linear function s. f(x) 2. 14 32 50 Example 5: The graph of the funotion f is shown below.

We can construct linear functions for a given graph, table of values, or verbal description using these parameters. What are the parameters? Constructed Function Given Information Example 3: The water company that serves St. George Island charges a base facity fee of $32.00 each month In addition, they charge $8.53 per kilogallon (1000 gallons) of water used. Write a function that can be used to calculate the monthly charge for water service when x kilogalons of water are used. Example 4. The table displays several ordered pairs generated by the linear function s. f(x) 2. 14 32 50 Example 5: The graph of the funotion f is shown below.

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

ChapterA: Appendix: Review Topics

SectionA.3: Introduction To Functions

Problem 29PS: Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week....

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Later High School Graduates This is a continuation of Exercise 16. 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 2001 2.85 2003 2.98 2005 3.11 2007 3.24 a. Find the slope of the linear function modeling high school graduations, and explain in practical terms the meaning of the slope. b. Find a formula for a linear function that models these data. c. Express, using functional notation, the number graduating from high school in 2008, and then calculate the value. d. The actual number graduating from high school in 1994 was about 2.52 million. Compare this with the value given by the formula in part b and with your answer to part of Exercise 16. Which is closer to the actual value? In general terms, what was the trend in high school graduations from 1985 to 2007? 16. High School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year.16 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.
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.