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