Direct Variation
iRespond
1. Which graph represents a direct
variation?
A
B
A.) Graph A
B.) Graph B
C.) Graph C
D.) Graph D
C
D
2. Which table represents a direct
variation?
Table2
Table1
x
y
x
y
A.) Table 1
2
4
2
8
3
6
3
12
B.) Table 2
6
18
6
18
C.) Table 3
Table3
D.) Table 4
Table4
x
y
x
y
2
6
2
4
6
2
3
6
6
12
6
12
3. The variables x and y vary directly.
If x=4 when y=24, find y when x=5
A.) y=6
B.) y=30
C.) y=1/6
D.) y=35
4. The height a ball bounces varies directly
with the height from which it is dropped. A
ball bounces 20m when it is dropped from
80m. How high will the ball bounce if it is
dropped from 100m? Write the equation.
A.) y= (1/4)x
B.) y= (1/2)x
C.) y= 4x
D.) y= 2x
5. The height a ball bounces varies
directly with the height from which it is
dropped. A ball bounces 20m when it is
dropped from 80m. How high will the
ball bounce if it is dropped from 100m?
A.) 25 m
B.) 20 m
C.) 400 m
D.) 250 m
6. The variables x and y vary directly.
Use the given values to write an
equation. x=9 y=3
A.) y=3x
B.) y=27x
C.) y=(1/3)x
D.) y=9x
7. The variables x and y vary directly.
Use the given values to find k. x=4
y=24
A.) k=6
B.) k=1/6
C.) k=4
D.) k=1/4
8. The variables x and y vary directly.
Use the given values to write the
equation. x=4 y=24
A.) y=6x
B.) y=(1/6)x
C.) y=4x
D.) y=(1/4)x
9. The variables x and y vary directly.
Given the equation y= -3x, find the
value of x when y= -18
A.) x= -6
B.) x= (-1/6)
C.) x= 6
D.) x= (1/6)
10. The total cost of gasoline varies
directly to how many gallons put into a
car. If 3 gallons of gasoline cost $5.25,
how much do 5 gallons cost? What is the
independent variable?
A.) Total cost of gasoline
B.) Cost per gallon
C.) Cost per 3 gallons
D.) Number of gallons put into car
11. The total cost of gasoline varies
directly to how many gallons put into a
car. If 3 gallons of gasoline cost $5.25,
how much do 5 gallons cost? Find k.
A.) k=15.75
B.) k=1.50
C.) k=1.75
D.) k=15.50
12. The total cost of gasoline varies
directly to how many gallons put into
a car. If 3 gallons of gasoline cost
$5.25, how much do 5 gallons cost?
A.) $1.50
B.) $26.25
C.) $1.75
D.) $8.75
13. The number of students served
during school lunch varies directly as
time. If 12 students can be served in 8
minutes, how many students can be
served in 48 minutes? Define x and y.
A.) x=# students served, y=# of minutes
B.) x=# of cafeteria workers, y=# of minutes
C.) x=# students served, y= # of cafeteria workers
D.) x=# of minutes, y=# of students
14. The number of students served during
school lunch varies directly as time. If 12
students can be served in 8 minutes, how
many students can be served in 48 minutes?
Find the constant (k)
A.) k=2/3
B.) k=3/2
C.) k=96
D.) k=4
15. The number of students served
during school lunch varies directly as
time. If 12 students can be served in 8
minutes, how many students can be
served in 48 minutes?
A.) 12 students
B.) 4 students
C.) 32 students
D.) 72 students