Graphing Proportional Relationships
Equations of Proportional Relationships
Identifying Proportional Relationships
Solve
Review
100
What ordered pair is used for the origin?
(0,0)
100
Is this equation proportional? y= 3x
If so what is the constant of proportionality? (k)
Yes
k=3
100
Are these ratios proportional? 
Yes
100
Viona rides their bike for 2 1/2 hours and travels 42 miles. What is their unit rate in miles per hour?
16.8 miles per hour
100
Christian drives 96 miles in 1.5 hours. What is his speed in miles per hour?
What is 64 miles per hour
200
How do you tell if a graph represents a proportional relationship.
Straight line through the origin or if y/x is constant.
200
Is this equation proportional? If so what is the constant of proportionality?
y= 4x + 10
Not proportional
200
Is the graph a proportional relationship? Explain.
NO
Does not go through the origin
200
Solve
n=3.8
200
Isabella is buying candy bars for 3 of her friends, costing her a total of $3.15. What is the constant of proportionality (aka: unit rate) in this situation?
$1.05
300
Are all line graphs proportional relationships?
no
300
Is this equation proportional? If so what is the constant of proportionality? (k=)
y= ¾ x
proportional
m= 3/4
300
Is the table proportional? Explain
No
It does not have a constant of proportionality
300
Given the table is proportional. How many apples would 9 trees have?
117 apples
300
Morgan pays $1.25 for a soda for each of her friends. If she is buying soda for 4 friends, how much will she spend?
What is $5
400
Is this graph proportional? Explain
YES Because it is a straight line that goes through the origin
400
Using this graph, What is the equation?
y= 5x
400
Is the table proportional? Explain.
Yes it is proportional because it has a constant of proportionality which is 9
400
Given the table is proportional, how many trees would it take for there to be 494 apples?
38 trees
400
A plant grows 10 inches in 4 months. How many inches will it grow in one month?
2.5 feet
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?
(5,250)
500
Write an equation for the proportional relationship shown in the table
Y= 3/2 x
500
Are the following ratios proportional
48:64 and 72:96
yes
500
Sam took 8 hours to drive 272 miles. If he drives at a consistant rate, how many miles can he drive in 10 hours?
340 miles
500
Which is a better deal?
5 shirts for $97.45 or 3 shirts for $65.85
5 shirts for $97.45