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100
What is the ordered pair for the origin?
(0,0)
100
Is the equation y = 3x proportional? Explain.
Yes. The equation is in the form of y = kx, where k = 3.
100
Are the ratios below proportional? Explain.
3/4 and 9/12
Yes. If you multiply 3/4 by 3/3 you get 9/12.
100
The triangles below are similar. What is the value of x?
x = 5
100
According to the scale on a map, 4 cm on the map equals 32 miles. How many centimeters on the map would represent 384 miles?
48 cm
200
How do you tell if a graph represents a proportional relationship?
The graph is a straight line that passes through the origin.
200
Is the equation y = 4x + 10 proportional? Explain.
No. The equation is NOT in the form of y = kx.
200
Does the graph below represent a proportional relationship? Explain.
No. Although the graph is a straight line, it does not pass through the origin.
200
Find the value of n in the proportion above.
n = 3.8
200
Bob ran 66 miles in 12 hours. How many miles did Bob run per hour?
5.5 miles per hour
300
Does every straight line graph represent a proportional relationship? Explain.
No. The graph would have to be a straight line AND pass through the origin.
300
What is the constant of proportionality in the equation below?
y= ¾ x
k = ¾
300
Does the table below represent a proportional relationship? Explain.
No. There is no constant
300
The table below is proportional. Find the constant of proportionality.
k = 13
300
The scale for a model airplane to a real airplane is 1in:9ft. Find the wingspan of the model airplane if a real airplane has a wingspan if 171 ft.
19 inches
400
Find the constant rate of change for this situation.
$2 per DVD
400
What is the constant rate of change?
$5 per hour
400
The equation for the linear relationship is y =3x - 8. What is the constant rate of change?
3
400
How do you show your work differently for proving proportionality vs. constant rate of change?
Proportionality: y / x
CROC: change in y / change in x
400
Find the slope of the line below:
1
500
Does this graph represent a proportional relationship? Explain.
Yes. It is a straight line that passes through the origin.
500
The constant of proportionality for the graph below is 1/6. What is the equation? 
y = 1/6x
500
Does the table below represent a proportional relationship? Explain.
Yes. The constant of proportionality is 9.
500
The constant of proportionality is 3. Write an equation for the proportional relationship.
y = 3x
500
Steve’s car used 38 gallons of gasoline to go 912 miles. At that rate, how many gallons would be used to go 2736 miles?
114 gallons
600
Find the slope of the linear relationship.
m=2
600
Write an equation for the proportional relationship shown in the table below.
y = 3/2 x OR y = 1.5x
600
What is the slope of the line that goes through points (12,9) and (5,2)?
m=(9-2)/(12-5)=7/7=1
600
The triangles below are similar. What is the value of x?
x = 3
600
X varies directly with y. If x=12 and y= 15, what would y be x=21?
y=26.25