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

Choose:
1
2
-1
½
arcpic2

 

 

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

Choose:
1
-1
arcmath1
arcmath2
arcgraph1

 

 

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

Choose:
arcmath3
7
arcmath4
arcmath4
arcpic1

 

 

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)?
arcRACE
 
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
arcpic3

 

 

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
arcpic3


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