Graphing Proportional Relationships
Equations of Proportional Relationships
Identifying Proportional Relationships
Solve
100
If you were looking at a graph, what would be giveaways/indications that the graph is proportional?
1. Continual straight diagonal line
2. Runs through the origin (0,0)
100
Are the coordinates below proportional?
(1,3), (2,5), (3,7)
No, it's an additive relationship
100
Are these ratios proportional? 
Yes, (x2)
100
Viona rides their bike for 2 1/2 hours and travels 42 miles. What is their unit rate in miles per hour?
*Hint: (y/x)
Unit Rate: 16.8 miles per hour
200
If you were looking at a graph how could you use the coordinates on the diagonal line to determine unit rate?
You could divide y by x (y/x) of coordinates on a line to see if they have the same unit rate.
Exp:
(4,2)--> 2/4 = 1/2
(6, 3)--> 3/6 = 1/2
200
Are the coordinates listed below proportional?
(3,10), (6,20), (9,28)
No, not proportional--(9,28) doesn't work with the other two.
200
Is the graph a proportional relationship? Explain.
No, because it doesn't go through the origin.
200
Solve
*Hint: Find the multiplicative relationship
n=3.8
300
Are all diagonal line graphs showing proportional relationships?
No, some display additive relationships--diagonal lines that don't run through the origin (0,0)
300
Are the coordinates below proportional to each other?
(1,4) and (4,16)
Yes, the unit rate for both is 4
300
Is the table proportional? Explain
No, there's no consistent unit rate
300
Given the table is proportional. How many apples would 9 trees have?
9 trees = 117 apples
400
Is this graph proportional? Explain
Yes, because it is a straight diagonal line that goes through the origin
400
Using this graph, what is the unit rate of the graph below?
Unit Rate = 5
*(y/x)
400
Is the table proportional? Explain.
Yes, it is proportional because it has a unit rate of 9.
400
Given the table is proportional, how many trees would it take for there to be 494 apples?
*Hint: find the unit rate
494 apples comes from 38 trees
500
Paul drives to his friends house 250 miles in 5 hours. If this is drawn on a graph where y is miles and x is hours, then what is the ordered pair coordinates for if this data was graphed on a coordinate plane?
*Feel free to use graph paper to draw it out! :)
(5,250)
500
What is the unit rate for the proportional relationship shown in the table below?
Unit Rate = 3/2, 1.5, or 1 1/2
* (y/x)
500
Are the following ratios proportional?
48:64 and 72:96
Yes, unit rate is 1.33 (rounded)
500
Sam took 8 hours to drive 272 miles. If he drives at a consistant rate (unit rate), how many miles can he drive in 10 hours?
340 miles
* 272/8 = 34 (unit rate)