Rate of Change Directions: On the following slide, copy the equations into your notebook and and record the correct letter and ROC next to the equation.
Match the Equation With Its ROC Equations: 1.Y = 3x – 5 2.Y = x 3.-6x + 7 = Y 4.Y = ½ x Y = ¾ x ROC: a.-12h. 5 b.7i. 3/4 c.½ j. 9 d.3 k. 12 e.4 f.X g.-6
Matching Answers Equations: 1.Y = 3x – 5 d. 2.Y = x k. 3.-6x + 7 = Y g. 4.Y = ½ x + 4 c. 5.Y = ¾ x i. ROC: a.-12h. 5 b.7i. 3/4 c.½ j. 9 d.3 k. 12 e.4 f.X g.-6
ROC and Tables Copy the tables into your notebook and determine the ROCs (ex. 3 apple per dollar) HoursMiles MonthsBalance ($) Movies Rented Cost $
Answers: ROC and Tables Copy the tables into your notebook and determine the ROCs (ex. 3 apple per dollar) miles per hour -$800 per month $ 4 per movie HoursMiles MonthsBalance ($) Movies Rented Cost $
Graphs and ROCs 9. Determine the ROC between the 2 points. Record in your notebook under graphs. (0,1) (4,9)
Graphs and ROCs 9. Determine the ROC between the 2 points. (0,1) (4,9) Up 8 units Over 4 units ROC : 8/4 = 2/1 or 2
Graphs and ROCs 10. The Beats (headphones) cost $90 and are being paid off in monthly installments. What is the ROC? Cost of Beats ($) Months
Graphs and ROCs 10. The Beats cost $90 and are being paid off in monthly installment. What is the ROC? (How much will be paid off each month?) Cost of Beats ($) Months Rise: -$90 Run: 9 months ROC: -$90/ 9 months = -$10 per month $10 per month is paid
Copy these situations into your notebook and underline the rate of change for each. 11. Madi’s has 9 eggs. Her hens lay an average of 4 eggs per day. 12. To belong to the health club, you must pay a sign-up fee of $15 plus $2 per visit. 13. Jaylin bought a motor scooter for $ He sends the bank a payment of $250 per month. 14. To use your cell phone in England the cellphone company charges $1 per minute plus a $40 fee. 15. Shayla has a cookie company and has 25,000 boxes of cookies. She sells 800 boxes a week.
Copy these situations into your notebook and underline the rate of change for each. 11. Madi’s has 9 eggs. Her hens lay an average of 4 eggs per day. 12. To belong to the health club, you must pay a sign-up fee of $15 plus $2 per visit. 13. Jaylin bought a motor scooter for $ He sends the bank a payment of $250 per month. 14. To use your cell phone in England the cellphone company charges $1 per minute plus a $40 fee. 15. Shayla has a cookie company and has 25,000 boxes of cookies. She sells 800 boxes a week.