1. x y    1. Which of the following is the equation of the line shown? a. b. c. d. e. 3. Write the equation of the line which passes through the points (3, 10) and (–1, 2). Exit Ticket 2. Write the equation of the line with slope and that passes through the point (8, –3).

2. Answers to even-numbered HW problems Section 3.2 S-2 The slope is –. S-8 f(x) = – 3x + 14 or y = – 3x + 14 Ex 8a) N =.03T – 9256 b) Slope is.03, vertical intercept is -9256 c) The fixed monthly costs are $9,256. d) The agency charges 3% commission. e) The horizontal intercept is 308,533. It represents the amount in total sales for the agency to break even. 4 5

3. The next screen you see may SCARE some of you.

4. From IRS Instructions for completing the 1040 individual tax form for 2013

5. I = I ncome 33,00033,20033,40033,60033,800 T = Tax4,5084,5384,5684,5984,628

6. Set up for graphs of data Setting the viewing window Entering data into lists

7. I = I ncome 33,00033,20033,40033,60033,800 T = Tax4,5084,5384,5684,5984,628

8. I = I ncome 33,00033,20033,40033,60033,800 T = Tax4,5084,5384,5684,5984,628 Since the graph of this data appears to be linear, there should be a linear function that passes through the data points. We say that the data can be modeled by a linear function.

9. I = I ncome 33,00033,20033,40033,60033,800 T = Tax4,5084,5384,5684,5984,628 200 30 Change in I 200 (33,000 to 33,200) 200 (33,200 to 33,400) 200 (33,400 to 33,600) 200 (33,600 to 33,800) Change in T30 Table of Differences

10. I = I ncome 33,00033,20033,40033,60033,800 T = Tax4,5084,5384,5684,5984,628 200 30 What is the slope of the linear function for Tax in terms of I ncome? What is the formula (equation) for the linear function? When data are linear: A data table with evenly spaced values for x can be modeled with a linear function if it shows a constant change in y. If the x-values are evenly spaced but the change in y is not constant, then the data cannot be modeled exactly by a linear function. I T

11. I = I ncome 33,00033,20033,40033,60033,800 T = Tax4,5084,5384,5684,5984,628

12. I = I ncome 48,00048,60051,00054,400 T = Tax7,9358,0858,6859,535

13. When data are linear: A data table with unevenly spaced values for x can be modeled with a linear function if the slope between all pairs of consecutive data points is the same. Can this data still be modeled with a linear function? 600 2400 150600850 3400 I = I ncome 48,00048,60051,00054,400 T = Tax7,9358,0858,6859,535 What is the equation for the linear function that models this data? Graph the data and the linear model on your calculator.

14. When data are linear: A data table with unevenly spaced values for x can be modeled with a linear function if the slope between all pairs of consecutive data points is the same. Can this data still be modeled with a linear function? 600 2400 150600850 3400 I = I ncome 48,00048,60051,00054,400 T = Tax7,9358,0858,6859,535 What is the equation for the linear function that models this data? Graph the data and the linear model on your calculator. 55,300 9,760

15. I = I ncome 48,00048,60051,00054,400 T = Tax7,9358,0858,6859,535 55,300 9,760

16. Homework: Read Section 3.3 (through bottom of page 252) Page 258 # S-1, S-2, S-3, S-17, S-18 Pages 259–263 # 1, 2, 3, 12

17. I was on the second day of a road trip when I decided to keep a record of how far I had traveled from home. The table below shows how many hours I drove that day and how far I was away from home. For example, after I had traveled a total of 3½ hours, I was 366 miles away from home. Number of hours traveled on day 2 Distance from home (in miles) 2282 3½3½366 6506 8618 8½646 Without graphing, determine if the data in the table below are linear. Exit Ticket a.Find the linear model (equation) for the data. b.Graph the data points and the model on your calculator. Call your teacher over to see your calculator screen. c. How far was I from home at the start of the day?