Graphing Proportional Relationships
Equations of Proportional Relationships
Identifying Proportional Relationships
Scale Factor & Scale Drawings
Miscellaneous
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
What is the unit rate...1.8 liters of fruit juice for $3.60.
$2.00 for 1 liter
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
How do you know if a table is proportional?
When you divide the y value with its x value, you get the same constant of proportionality every time.
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?
Find where x = 1. The y-coordinate is k.
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
Write down the next number in the pattern: 1, 2, 3, 5, 8, 13, 21…
34
400
What are the 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)
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 itme was originally 30 in. long but then was reduced to 5 in. What is the scale factor?
r = 1/6
400
Which equivalent ratio does not belong?
8:6 , 3:4 , 4:3 , 12:9
3:4
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
A map shows that 1 inch is equal to 63,360 inches. If the distance needed to travel is 3.5 inches, how many miles would you have to travel?
3.5