Graphing Proportional Relationships
Equations of Proportional Relationships
Identifying Proportional Relationships
Scale Factor & Scale Drawings
Multi-step Ratio Problems
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
List a scale factor that would reduce a figure.
Any number where r < 1 (but greater than 0)
100
Mrs. Everhart spends $1,000 on tickets to the Royals playoff game. She spends $100 on an upper-level ticket and the rest on lower-level tickets. Each lower-level ticket is $150. How many lower-level tickets did she buy?
6 tickets
200
A relationship between two quantities that is changing at a CONSTANT rate is:
a. proportional
b. nonproportional
a. 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
A square is originally 5 cm long but is enlarged by a scale factor of 10. What is the length of the scale drawing?
50 cm
200
Briley makes a scale drawing of a movie screen. The scale from the actual movie screen to the drawing is 10.5 feet to 2 in. The dimensions of the movie screen are 21 feet by 16 feet. What are the dimensions of the movie screen in the drawing? Round to the nearest whole number.
4 cm by 3 cm
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
Figure B is created by enlarging Figure A by a scale factor of r = 2. What scale factor is used to reduce Figure B back to the size of Figure A?
r = 1/2
300
Haven is making orange juice. She uses 5 Tablespoons of orange concentrate for every 4 oz. of water. Write an equation that shows the relationship between oz. of water, w, and tablespoons of orange concentrate, c.
w = 4/5c or
w = 0.2c
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
An item was originally 30 in. long but then was reduced to 5 in. What is the scale factor?
r = 1/6
400
Bob has a recipe for salad dressing. The recipe says to mix 1/4 c lemon juice, 1/8 c mustard, and 1/4 c vinegar. How much lemon juice does he need to make 4 c of salad dressing?
8/5 or 1 3/5 cups
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
1 inch on a map is equal to 4 miles in real life. 8 inches on the map is how many miles in real life?
32 miles
500
Li walks at a constant rate of 7 ft every 4 sec. The table shows the relationship of feet to seconds. What is the constant of proportionality for the relationship of feet to minutes?
105 feet per minute