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ch 3-3a

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

 1. 

Graph the equation mc001-1.jpg and tell whether it is linear.
a.
mc001-2.jpg
linear
c.
mc001-4.jpg
linear
b.
mc001-3.jpg
linear
d.
mc001-5.jpg
linear
 

 2. 

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.
4
b.
1
c.
0.25
d.
The slope cannot be determined.
 

 3. 

Determine whether the data sets show a direct variation.
Number of People
Time (min)
10
4
14
5.6
17
6.8
19
7.6
20
8
a.
yes
b.
no
 

 4. 

The graph shows the distance Julie walks over time. Does she walk at a constant or variable speed? How fast is Julie walking?
mc004-1.jpg
a.
constant speed; 1.5 mi/h
c.
constant speed; 3 mi/h
b.
constant speed; 6 mi/h
d.
variable speed; 6 mi/h
 

 5. 

The linear equation mc005-1.jpg describes how far from home Deena is as she drives from Montreal to Miami. Let x represent the number of hours and y represent the number of miles. How far from home is Deena in 12 hours? Graph the equation and tell whether it is linear.
a.
Deena is about 35 miles from home in 12 hours.
mc005-3.jpglinear
b.
Deena is about 12 miles from home in 12 hours.
mc005-4.jpglinear
c.
Deena is about 420 miles from home in 12 hours.
mc005-5.jpglinear
d.
Deena is about 47 miles from home in 12 hours.
mc005-6.jpglinear
 

 6. 

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

mc006-1.jpg
a.
30 hours per kilometer
b.
60 kilometers per hour
c.
30 kilometers per hour
d.
mc006-5.jpg kilometers per hour
 

 7. 

Determine whether the data sets show a direct variation.
Length (in)
Number of Books
11
22
15
30
17
34
18
36
20
40
a.
no
b.
yes
 

 8. 

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 A
b.
Printer B
c.
Printer A and printer B have the same unit rate.
d.
The relationship cannot be determined.
 

 9. 

Determine whether the data sets show a direct variation.
Number of Baskets
Cost
3
$10
5
$18
7
$21
9
$27
10
$30
a.
no
b.
yes
 

 10. 

Given that y varies directly with x, find the equation of direct variation when mc010-1.jpg and mc010-2.jpg.
a.
y = mc010-3.jpgx
c.
xy = mc010-5.jpg
b.
y = mc010-4.jpgx
d.
xy = mc010-6.jpg
 

 11. 

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?
mc011-1.jpg
a.
constant speed; 7.5 mi/h
c.
variable speed; 30 mi/h
b.
constant speed; 30 mi/h
d.
constant speed; 15 mi/h
 



 
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