____________ 10. Find the constant rate of change for the function shown in the table, and then predict 10. ________________ the profit if 75 hats are sold. ________________ Hats sold, x 10 20 30 40 Profit ($), y 12.50 25.00 37.5 50.00 11. explain on left 11. What happens to the graph of = 4x 4 when the is changed to 4? y y-intercept – What happens when the slope is changed to 4? – 12. ________________ 12. The table shows the percent of adults who used computers from 1984 through 2007. What was the rate of change from 1989 to 2007? Year 1984 1989 1993 1998 2003 2007 Percent of adults 28 46 61 72 91 93 U.S. Census Source: 13. ________________ 13. Solve the system of equations by graphing. (Hint: Use a ruler.) 3x + 6y = 2y 4x = 6 –12 – 14. explain on left 14. Why does the following system of equations have an infinite number of solutions? Show work to prove your reasoning. = + 4 y x 6y = 24 x – 15. ________________ 15. Find the value of so that the slope of the line passing through the points and b A(1, b) is 2. (Hint: Use the slope formula.) B(–4, –10) 16. ________________ Solve the system of equations by 16. substitution. 4x + 4y = 12 = + y x 17. ________________ 17. A tablet data package from provider is based on a monthly fee of $60 plus $0.05 per a minute of internet use. Provider charges $45 each month for their data package, plus b $0.15 per minute of internet use. At what number of minutes of internet use will the monthly fees be the same for the two providers? (Hint: Set the two equations equal to each other.)
____________ 10. Find the constant rate of change for the function shown in the table, and then predict the profit if 75 hats are sold. Hats sold, x 10 20 30 40 Profit ($), y 12.50 25.00 37.5 50.00 11. What happens to the graph of y = 4x – 4 when the y-intercept is changed to 4? What happens when the slope is changed to – 4? 12. The table shows the percent of adults who used computers from 1984 through 2007. What was the rate of change from 1989 to 2007? Year 1984 1989 1993 1998 2003 2007 Percent of adults 28 46 61 72 91 93 Source: U.S. Census 13. Solve the system of equations by graphing. (Hint: Use a ruler.) 3x + 6y = –12 2y – 4x = 6 14. Why does the following system of equations have an infinite number of solutions? Show work to prove your reasoning. y = x + 4 6y – x = 24 15. Find the value of b so that the slope of the line passing through the points A(1, b) and B(–4, –10) is 2. (Hint: Use the slope formula.) 16. Solve the system of equations by substitution. 4x + 4y = 12 y = x + 17. A tablet data package from provider a is based on a monthly fee of $60 plus $0.05 per minute of internet use. Provider b charges $45 each month for their data package, plus $0.15 per minute of internet use. At what number of minutes of internet use will the monthly fees be the same for the two providers? (Hint: Set the two equations equal to each other.) 10. ________________ ________________ 11. explain on left 12. ________________ 13. ________________ 14. explain on left 15. ________________ 16. ________________ 17. ________________