
Directions: Read carefully. Choose the best answer.
1. 
Find the slope of the line passing through the points (4,3) and (5,2).



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



3. 
Find the average rate of change on the graph
of y = x^{2} + 4x + 1 on the interval 1 < x < 4.
Choose:



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

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:
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:


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


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


6. 
For f (x) = x^{3}  1, find the average rate of change from x = 0 to x = 2.
Choose:



7. 
Pertaining to the table at the right:
a) Find the average rate of change on the interval 2 < x < 3.
Choose:
b) Find the average rate of change on the interval 4 < x < 5.
Choose:

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:


d) Is the function displayed in the table a linear function?
Choose:


8. 
Amazon sales for a new video game during its first week of release (7 days) can be modeled by the function S(x) = 2^{x}, 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:



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