Rate of ChangeDetermining Rate of Change/Slope from Tables, Graphs, Equation, and
Verbal Descriptions
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 – 52. Y = 9 + 12x3. -6x + 7 = Y4. Y = ½ x + 45. Y = ¾ x
ROC:
a. -12 h. 5b. 7
i. 3/4c. ½ j. 9d. 3
k. 12e. 4 f. Xg. -6
Matching Answers
Equations:1. Y = 3x – 5 d.2. Y = 9 + 12x k.3. -6x + 7 = Y g.4. Y = ½ x + 4 c.5. Y = ¾ x i.
ROC:
a. -12 h. 5b. 7
i. 3/4c. ½ j. 9d. 3
k. 12e. 4 f. Xg. -6
ROC and Tables
• Copy the tables into your notebook and determine the ROCs (ex. 3 apple per dollar).
6. 7.8.
Hours Miles
0 0
1 65
2 130
3 195
4 260
Months Balance ($)
0 7500
1 6700
2 5900
3 5100
4 4300
Movies Rented
Cost $
0 12
1 15
2 183 21
Answers: ROC and Tables• Copy the tables into your notebook and determine the ROCs (ex. 3 apple
per dollar).6. 7.
8.
65 miles per hour -$800 per month $ 4 per movie
Hours Miles
0 0
1 65
2 130
3 195
4 260
Months Balance ($)
0 7500
1 6700
2 5900
3 5100
4 4300
Movies Rented
Cost $
0 12
1 16
2 203 24
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 monthsROC: -$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 $ 1200. 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 $ 1200. 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.