Name: 
 

Quiz 3.6-3.8



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

 1. 

Your family is planning to drive 2620 kilometers on a road trip. How many miles is the trip?
a.
1637.5 miles
c.
1455.56 miles
b.
4192 miles
d.
1871.43 miles
 

 2. 

The species Myotis lucifugus is commonly known as the “little brown bat.” An average little brown bat weighs mc002-1.jpg ounce. As many as 300,000 little brown bats may share the same roosting location.  How many kilograms would 300,000 little brown bats weigh?
a.
100,000 kg
c.
2812.5 kg
b.
13,888.9 kg
d.
8437.5 kg
 
 
The variables x and y vary directly.  Use the values to write an equation that relates x and y.
 

 3. 

y = 27;  x = 9
a.
mc003-1.jpg
c.
y = mc003-3.jpgx
b.
mc003-2.jpg
d.
mc003-4.jpg
 

 4. 

Write a direct variation equation that relates x quarts to y liters.
Length
Capacity
Weight and Mass
1 in. mc004-1.jpg 2.54 cm
1 mi mc004-2.jpg 1.6 km
1 qt mc004-3.jpg 0.95 L
1 lb mc004-4.jpg 0.45kg
a.
x = 0.95y
c.
y = 0.95x
b.
y = mc004-5.jpgx
d.
y = mc004-6.jpgx
 

 5. 

Write a direct variation equation that relates x kilograms to y pounds.
Length
Capacity
Weight and Mass
1 in. mc005-1.jpg 2.54 cm
1 mi mc005-2.jpg 1.6 km
1 qt mc005-3.jpg 0.95 L
1 lb mc005-4.jpg 0.45kg
a.
y = mc005-5.jpgx
c.
x = mc005-6.jpgy
b.
y = 0.45x
d.
y = mc005-7.jpgx
 
 
The variables x and y vary inversely.  Write an equation relating x and y.
 

 6. 


mc006-1.jpg
a.
mc006-2.jpg
c.
mc006-4.jpg
b.
mc006-3.jpg
d.
mc006-5.jpg
 

 7. 


mc007-1.jpg
a.
mc007-2.jpg
c.
mc007-4.jpg
b.
mc007-3.jpg
d.
mc007-5.jpg
 

Numeric Response
 

 1. 

How long is the sea snake in centimeters?
nr001-1.jpg

 

Short Answer
 
 
Complete the statement using < or >.
 

 1. 

29 ft   ?  8 m
 
 
Complete the statement.  Round to the nearest hundredth, if necessary.
 

 2. 

17 mi sa002-1.jpg   ?  km
 

 3. 

26 mm/sec sa003-1.jpg   ?  in./sec
 
 
Tell whether x and y show direct variation.  Explain your reasoning.
 

 4. 


x
0
1
2
3
y
0
6
12
18
 

 5. 


x
–4
–2
0
2
y
4
2
0
2
 

 6. 

You rent a scooter for two days while you are on vacation. Tell whether x and y show direct variation. If so, write an equation of direct variation.

Miles, x
50
30
Cost, y
$30
$24
 
 
Tell whether x and y show direct variation, inverse variation, or neither.  Explain your reasoning.
 

 7. 

sa007-1.jpg
 



 
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