Graphing Functions Test Corrections Fill in Test Correction Form with Correct Answers and an explanation in order to get credit

Find the slope of the line that passes through each pair of points Find the slope of the line that passes through each pair of points. Show your work. 6 - 5 = 1 = -1 1 - 3 -2 2 1. (3,5) and (1,6) _______________ 2. (-2,4) and (2,8) _______________ 3. (7,1) and (2,11) _______________ 4. (9,-2) and (-1,4) _______________ -1/2 8 - 4 = 4 = 1 2- -2 4 1 11 - 1 = 10 = -2 2 - 7 -5 -2 4 - -2 = 6 = -3 -1 - 9 -10 5 -3/5

Find the slope and y-intercept of the graph of each function. 5. y = x + 9 slope: _______ y-intercept: _______ 6. y = -5x – 2 slope: _______ y-intercept: _______ 7. y = 2/3x – 4 slope: _______ y-intercept: _______ 1 9 -5 -2 2/3 -4

Determine which function has the greater rate of change. Show your work. y = 3x + 1 3 2.5 12.5 – 5 = 7.5 = 2.5 5 – 2 3 x 2 5 12 y 12.5 30

Determine which function has the greater rate of change. Show your work. 9. y = 2x – 4 2 4 12 – 4 = 8 = 4 3 – 1 2 x 1 3 4 y 12 16

Determine which function has the greater rate of change. Show your work. 10. y = 5x + 6 5 3 15 – 12 = 3 = 3 4 – 3 1 x 1 2 3 4 y 6 9 12 15

15. a. A new $20 bill weighs approximately 0. 5 gram 15. a. A new $20 bill weighs approximately 0.5 gram. Write a linear function that shows the weight of x $20 bills. ____________________________________ b. How much do 120 $20 bills weigh? __________________________________________ y = 0.5x y = 0.5(120) y = 60 grams

Match each function with its graph. 11. y = -2x + 4 12. y = -4x – 3 13. y = -1/2x + 4 14. y = 1/4x – 3 ___________ ___________ ___________ ___________ C D A B

Bill’s Bike Rentals charges $15 per hour plus a $30 rental fee Bill’s Bike Rentals charges $15 per hour plus a $30 rental fee. Celia’s Cycles charges $55 for 2 hours and $75 for 4 hours. Both relationships are linear. 15. Which function has the greater rate of change? Explain how you found your answer. ________________________________________ 16. Which company has the greatest initial cost? Explain how you found your answer. Bill’s Bike Rentals Celia’s Cycles

Bill’s Bike Rentals charges $15 per hour plus a $30 rental fee Bill’s Bike Rentals charges $15 per hour plus a $30 rental fee. Celia’s Cycles charges $55 for 2 hours and $75 for 4 hours. Both relationships are linear. 17. Create a table to represent each function, then graph both functions on your graph paper. Label each table and line on your graph with the company name. (Both companies on the same graph) x  1 2 3 4 y  45 60 75 90 Bill’s Bike Rentals x 1  2 3 4 y 45  55 65 75 Celia’s Cycles

Bill’s Bike Rentals charges $15 per hour plus a $30 rental fee Bill’s Bike Rentals charges $15 per hour plus a $30 rental fee. Celia’s Cycles charges $55 for 2 hours and $75 for 4 hours. Both relationships are linear. 18. Write a function rule to describe each company’s charges. _________________________________________________________________ 19. How many hours could you ride a bicycle and pay the same price at both rental companies? 20. Which company would be less expensive if you were going to rent a bicycle for 3 hours? Bill’s Bike Rentals: y = 15x + 30 Celia’s Cycles: y = 10x + 35 1 hour (costs $45) Celia’s Cycles