Graphing Proportional Relationships
Equations of Proportional Relationships
Identifying Proportional Relationships
Unit Rate
Solving a proportion
100
what coordinate point is the origin?
0,0
100
Is this equation proportional? y= 3x
If so what is the constant of proportionality? (K)
Yes
k=3
100
Which table does not show a proportional relationship?
A
100
A car travels 180 miles in 3 hours.
What is the unit rate in miles per hour?
60 mph
100
If 2 pencils cost $0.75, how much do 6 pencils cost?
$2.25
200
Is this relationship proportional?
No
200
The equation to convert Fahrenheit (°F) to Celsius (°C) is:
C= 5/9F - 32
Is the equation proportional.
Not proportional
200
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
200
Maria buys 5 pounds of apples for $7.50.
What is the cost per pound?
$1.50 per pound
200
A car travels 180 miles in 3 hours. How far will it travel in 5 hours at the same speed?
300
300
what are 3 ways to tell if a graph is proportional
if the line is straight
goes through the origin
has a constant
300
Is this equation proportional? If so what is the constant of proportionality? (K=)
y= ¾ x
proportional
k= 3/4
300
Is the table proportional?
No
300
Jenny types 1,200 words in 20 minutes.
What is her typing speed in words per minute?
60 words per minute
300
A recipe uses 4 cups of flour to make 12 cookies. How many cups are needed for 30 cookies?
10 cups
400
Is this graph proportional?
YES
400
Using this graph, What is the equation? 
y= 1/6x
400
Is the table proportional? If so, what is the constant?
Yes it is proportional
400
Emma jogs 3/4 mile in 1/6 hour.
What is her speed in miles per hour?
4.5 mph
400
If 3 shirts cost $27, how much do 7 shirts cost at the same rate?
$63
500
Write an equation that relates gallons of water used (w) to time (m).
w = 5m
500
Write an equation for the table given the table is proportional.
Y= 3/2 x
500
Write an equation that represents the proportional relationship between pounds of apples (p) and total cost (c).
c = 3p
500
A machine fills 2/5 of a bottle in 1/10 of a minute.
How much of the bottle does it fill in 1 minute?
4
500
A map has a scale of 1 inch = 50 miles. If two cities are 3.75 inches apart on the map, how far apart are they in real life?
187.5