NAME:
CLASS PERIOD:
Rate of Change and Slope
Show all work on lined notebook paper, neatly, numbered, and in order.
Tell whether the rates of change are constant or variable. The first one is done for you.
constant
1. calories per serving _________________
2. distance jumped _________________
Servings
1
2
5
7
Calories
150
300
750
1,050
Jumps
2
4
7
10
Distance (ft)
12
24
35
55
Find the slope of each line. The first one is done for you.
3
3. slope  _________________
4. slope  _________________
5. slope  _________________
6. slope  _________________
Solve. The first one is done for you. You are looking for unit rate. Divide or set up a
proportion. (KEY!)
7. In 3 hours, 654 gallons of water passed through a pipe. What was the average rate in
gallons per hour at which the water passed through the pipe?
218
gallons per hour
________________________________________________________________________________________
8. A car traveled 200 miles in 4 hours. What was the car’s average rate of speed in miles per
hour?
________________________________________________________________________________________
Find the slope of each line.
9. slope  _________________
10. slope  _________________
Solve. You are looking for unit rate. Divide or set up a proportion. (KEY!)
11. Jasmine bought 7 yards of fabric. The total cost was $45.43. What
was the average cost per yard of the fabric she bought?
________________________________________________________________________________________
12. A train traveled 325 miles in 5 hours. What was the train’s average
rate of speed in miles per hour?
________________________________________________________________________________________
13. The graph at the right shows the amount of water in a
tank that is being filled. What is the average rate of
change in gallons per minute?
____________________________________________
14. Suppose the size of the tank in question 5 is doubled. Will
the average rate of change in gallons per minute change?
Explain your answer.
________________________________________________________________________________________
________________________________________________________________________________________
15. A line passes through (1, 1), (2, 4), and (6, n). Find the value of n.
________________________________________________________________________________________