Graphing Proportional Relationships
Equations of Proportional Relationships
Identifying Proportional Relationships
Scale Drawings
Unit Rates
100
What is the ordered pair for the origin?
** Don't forget your parentheses around the ordered pair! **
(0,0)
100
Is this equation proportional? y= 3x
If so, what is the constant of proportionality? (K)
Yes
k=3
100
Ms. Levy sells 10 Chick-fil-A sandwiches every hour. Is the relationship between sandwiches sold and time proportional? If so, what is the constant of proportionality?
Yes, k = 10
100
A map has a scale of 1 in:10 mi. Find the distance on the map between two cities that lie 147 miles apart.
14.7 inches
100
A recipe calls for 10 cups of olive oil for 5 cups of butter. What is the unit rate for sugar to putter?
2 cups of olive oil/ cup of butter
200
A relationship between two quantities that is changing at a CONSTANT rate is a _____________ relationship.
proportional
200
Is this equation proportional? If so what is the constant of proportionality? (K=)
y= 4x + 10
Not proportional
200
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
200
The students in Roberto's school are painting a mural that will be 8 feet wide. First they make a scale drawing of the mural with a scale of 2 in: 5 ft. What is the width of the mural on the scale drawing?
3.2 inches
200
A recipe calls for 2 cups of sugar for 1/4 cup of butter. What is the unit rate for sugar to butter?
8 cups of sugar/ cup of butter
300
Recipe 1 is given by the equation y = 4x where x represents the cups of lemonade mix and y represents the cups of water.
If Tyler had 16 cups of lemonade mix, how many cups of water would he need for each recipe?
64 cups of water
300
Write an equation for the table given the table is proportional.
y = 3/2 x
or y = 1 1/2x
or y = 1.5x
300
How can you find the constant of proportionality in a graph?
y divided by x
300
If a 9 ft tall tree casts a 6 ft long shadow, then how long is the shadow that a 12 ft tall statue casts?
8 feet
300
Jana and Jenn are training to run a race. Jana runs 3 miles in 1/3 hour and Jenn runs 5 miles in 3/4 hour. Who runs faster, and what is the unit rate of her speed in minutes per mile?
Jana - 9 mi/hr
400
What are thre two rules to know if a graph is proportional?
1. The line is straight (no curves or zig-zags)
2. The line goes through the origin (0,0)
3. It's a one-step equation
400
Is this equation proportional? If so what is the constant of proportionality? (K=)
y= ¾ x
proportional
k= 3/4
400
Is the table proportional?
No
400
A scale drawing of an elephant shows the animal as 6 inches high and 10.8 inches long. The scale factor used for the drawing was 3 in:5 ft. What are the height and length of the actual elephant?
10 ft x 18 ft
400
Amal can run 1/8 mile in 1 1/2 minutes. What is his unit rate?
1/12 mile/min
500
Is this graph proportional? Explain WHY.
Yes, it is a straight line that goes through the origin.
500
Using this graph, What is the equation? Write your constant of proportionality as a FRACTION. 
y= 1/6x
500
Is the table proportional?
Yes it is proportional
500
Martine's town is building a volleyball court based on a scale drawing that is 40 cm by 80 cm and uses the scale 1 cm:22.5 cm. What are the length and wide in meters of the actual court?
900 x 1800 cm
500
Chen bikes 2 1/2 miles in 5/12 hour. What is Chen's unit rate in miles per hour?
6 mi/hr