The document contains math problems about calculating rates of change from tables and graphs. It asks students to find rates of change from tables showing time and cost, time and distance, and graphs showing height over time of a balloon, resale value of a refrigerator over years. It also contains problems about finding the slope of lines from their equations and points on the lines. The rates of change and slopes indicate how quantities change in relation to other quantities over time or across other variables for the situations described.

1. ALGEBRA Name: ____________________________
Slope and Rate of Change Period: ____
The rate of change is constant in the table. Find the rate of change. Explain what the rate of change means
for the situation.
1. Time Cost 2. Time Distance
(days) (dollars) (hours) (miles)
3 75 4 232
4 100 6 348
5 125 8 464
6 150 10 580
Find the rates of change for each graph below. Explain what the rate of change means for the situation.
3. Height of a balloon
3
Height (1000 ft)
2
1
0 10 20 30 40 50 60
Time (sec)

2. Resale value of a refrigerator
4.
600
400
Amount ($)
200
0 3 6 9 12 15 18
Years (after original purchase)
Find the slope of the line.
5. y 6. y 7. y
10 10 10
10 x 10 x 10 x
Slope = ________ Slope = ________ Slope = ________
8. y 9. y
10 10
10 x 10 x
Slope = ________ Slope = ________

3. Find the slope of the line that passes through the pair of points.
b gb
10. – 5, 3 , 4, – 8g b gb
11. – 3, – 8 , 2, – 7 g b gb g
12. 5, 3 , 6, 4
b gb
13. 7, – 6 , – 4, – 3 g b gb
14. – 12, – 5 , 7, – 5 g b gb g
15. 12, – 10 , 12, 1