 Average Rate of Change Practice Terms of Use    Contact Person: Donna Roberts  1.
Find the slope of the line passing through the points (-4,3) and (-5,2).

Choose:
 1 2 -1 ½ 2.
Regarding the graph at the right, what is the average rate of change over the interval -1 < x < 5 ?

Choose:
 1 -1   3.
Find the average rate of change on the graph
of y = x2 + 4x + 1 on the interval -1 < x < 4.

Choose: 7   4.
Nelson took a summer job, for five weeks, where he received a weekly salary plus tips. His take-home pay is recorded in the table at the right. What was the average rate of change in his weekly take-home pay over the five weeks of his job?

Choose:
 \$5.25 per week \$5.00 per week \$4.50 per week \$2.25 per week
 Week Weekly Salary 1 \$60 2 \$65 3 \$72 4 \$75 5 \$80

5.
The graph at the right shows the race between Tristin, the tortoise, and Harlow, the hare.
a) How much of a head start did Harlow give Tristin?

Choose:
 10 minutes 2 minutes 7 minutes 4 minutes

b)
How far into the race had the boys traveled before they were at the same location at the same time (to the nearest foot)? Choose:
 4 feet 7 feet 89 feet 100 feet

c)
Express Tristin's constant speed (average rate of change).

Choose:
 40 feet every 3 minutes 40 feet per minute 60 feet every 3 minutes 60 feet per minute

d)
Express Harlow's constant speed (average rate of change).

Choose:
 100 feet per minute 200 feet per minute 100 feet every 3 minutes 200 feet per 3 minutes

6.
For f (x) = x3 - 1, find the average rate of change from x = 0 to x = 2.

Choose:
 8 7 3 4 7.
Pertaining to the table at the right:
a)
Find the average rate of change on the interval 2 < x < 3.
Choose:
 2 -2 6.8 -6

b)
Find the average rate of change on the interval 4 < x < 5.
Choose:
 2 -2 6.8 -6
 x f (x) 1 21 2 18 3 16 4 10 5 8

c)
Find the average rate of change on the interval 3 < x < 4.
Choose:
 2 -2 6.8 -6

d)
Is the function displayed in the table a linear function?
Choose:
 Yes No

8.
Amazon sales for a new video game during its first week of release (7 days) can be modeled by the function S(x) = 2x, where S(x) represents the number of sales (in hundreds) at the end of each day. Find the average rate of change in the sales from day 2 to day 6.

Choose:
 15 sales per day 150 sales per day 1,500 sales per day 15,000 sales per day  