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ch 3-3b

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

The graph shows a proportional relationship. Use the graph to identify the unit rate.

mc001-1.jpg
a.
60 kilometers per hour
b.
30 kilometers per hour
c.
30 hours per kilometer
d.
mc001-5.jpg kilometers per hour
 

 2. 

The graph shows the distance Maria walks over time. Does she walk at a constant or variable speed? How fast is Maria walking?
mc002-1.jpg
a.
constant speed; 2.5 mi/h
c.
constant speed; 1.25 mi/h
b.
constant speed; 5 mi/h
d.
variable speed; 5 mi/h
 

 3. 

The graph shows the distance a boat is traveling over time. Does the boat travel at a constant or variable speed? How fast is the boat traveling?
mc003-1.jpg
a.
constant speed; 30 mi/h
c.
constant speed; 15 mi/h
b.
constant speed; 60 mi/h
d.
variable speed; 60 mi/h
 

 4. 

Determine whether the data sets show a direct variation.
Length (in)
Number of Books
10
26
14
28
15
30
19
41
20
43
a.
yes
b.
no
 

 5. 

Given that y varies directly with x, find the equation of direct variation when mc005-1.jpg and mc005-2.jpg.
a.
y = mc005-3.jpgx
c.
xy = mc005-5.jpg
b.
y = mc005-4.jpgx
d.
xy = mc005-6.jpg
 

 6. 

Determine whether the data sets show a direct variation.
Number of Baskets
Cost
5
$10
9
$18
10
$20
13
$26
15
$30
a.
no
b.
yes
 

 7. 

Determine whether the data sets show a direct variation.
Number of People
Time (min)
10
4
11
4.4
13
5.2
17
6.8
19
7.6
a.
no
b.
yes
 

 8. 

The cost C, in dollars, for advertising on a social networking website is proportional to the number n of clicks on the advertisement. Suppose a business is charged $45 for 180 clicks on its advertisements. What is the slope of the line that represents the relationship between cost and clicks?
a.
1
b.
4
c.
0.25
d.
The slope cannot be determined.
 

 9. 

Graph the equation mc009-1.jpg and tell whether it is linear.
a.
mc009-2.jpg
linear
c.
mc009-4.jpg
linear
b.
mc009-3.jpg
linear
d.
mc009-5.jpg
linear
 

 10. 

The number of pages p that a laser printer prints is proportional to the printing time t, in minutes. Printer A prints 104 pages in 4 minutes. The table shows the relationship between the amount of time and the number of pages printed for printer B. Which printer prints more slowly?

Time
(minutes)
Pages
printed
3
84
5
140
9
252
14
392
a.
Printer B
b.
Printer A
c.
Printer A and printer B have the same unit rate.
d.
The relationship cannot be determined.
 



 
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