Graphing Proportional Relationships
Equations of Proportional Relationships
Identifying Proportional Relationships
Proportional Relationships
Random math
100
What is the ordered pair of the origin?
(0,0)
100
In the equation y = 3x, what is the constant of proportionality?
3
100
True or False?
To find the constant of proportionality, you divide “x” by “y.”
FALSE
100
In an ordered pair (x, y) that represents the unit rate, which coordinate is 1?
x
100
A 17.5-inch candle burns down in 10 hours. At what rate does the candle burn, in inches per hour?
1.75 inches per hour
200
What is the constant of proportionality? 
1/6
200
Will the graph of the equation y = 3x + 5 be a straight line that starts at the origin?
no
200
Does this graph show a proportional relationship? How do you know?
NO
Does not start at the origin
200
If the point (4, 3) is on the graph of a proportional relationship, what is the constant of proportionality?
3/4
200
A scale factor of 3 is used to create a scaled copy of a picture; the original length is 9 cm, and what is the length of the new picture?
27 cm
300
What two characteristics make a graph proportional?
Straight line
Starts at the origin (0,0)
300
Is this equation proportional? y= (¾)x
yes
300
(5,10) is a point on a line that represents a proportional relationship. What is the constant of proportionality?
2
300
What is the rate of apples to trees?
13 apples per tree
300
What's the area of a rectangle that has a length of 5 meters and a width of 8 meters?
40 square meters
400
Does this graph represent a proportional relationship?
Yes.
400
If the constant of proportionality is 0.25, what is the equation for this relationship?
y = 0.25x
400
Two friends, Olivia and Melanie, took summer jobs. The equation y=22.2x represents Melanie's earnings in dollars and cents,y, for working x hours. Olivia earned $1156 in 40 hours.
How much less per hour does Melanie earn than Olivia?
$6.70
400
When creating this game, Mr. G was able to create 3 questions every 5 minutes. How long would it take to create a game with 24 questions?
40 minutes
400
What is 8 divided by 0?
Not 0! No number is correct. The answer is "undefined."
500
Is person A or person B walking faster?
person B - this person walks more miles in the same amount of hours.
500
Kim tries to bike 15 miles (y) every 3 days (x).
What is the equation for this relationship?
y = 5x
500
Is the equation y = x/6 proportional? If so, what is the constant?
Yes; k = 1/6
500
A recipe for chocolate chip muffins needs 4 cups of flour to 1 cup of chocolate chips. Which of the following shows another correct ratio for the recipe?
a. 1 cup of flour for 1 cup of chocolate chips
b. 3 cups of flour to 1 cup of chocolate chips
c. 8 cups of flour to 2 cups of chocolate chips
c
500
How many minutes are in 2.5 hours?
150 minutes
600
Which of the following is proportional?
a. 
A
600
Using this graph, what is the equation?
y = 20x
600
Does the table show a proportional relationship between the number of buses and the number of students?
No
600
The point (4, 9) is on the graph of a proportional relationship. What is the equation for this graph?
y = (9/4)x
600
A soccer player scored 12 goals during this season. This player scored on 30% of the shots attempted. How many shots were attempted?
40 shots