Turn the Tables
X marks the spot
Plot Twist!
Keep it Constant
1
X Y
2
4 0.6
12
y = 0.3
y = 1.8
+300 PTS
1
Lily's buying apples at the store. 12 apples costs $6. Write an equation that represents the relationship between apples, a, and the cost, c.
C = .5a
or C = 1/2a
+400 PTS
1
Which graph(s) are proportional relationships? How do you know?
a b
c
d
Graph B. It is the only graph that is a straight line and starts at (0,0).
DOUBLE YOUR SCORE
200 = 400, but -100 = -200
1
What is the COP of the equation?
y=9/5x
9/5 = COP
300 PTS
2
Is the table a proportional relationship?
Candy Price
0 6
2 18
3 24
4 28
NO, because it does not start at (0,0) and does not have a COP
+220 PTS
2
Alex rode his bike at a constant speed. He went 1 mile in 5 minutes.
Which of these equations represents the distance "d"(in miles) that Alex walks in "t" minutes?
- d = 1/5 t
- t = 1/5 d
- d = 5t
d = 5d
Equation 1:
d = 1/5 t
TOUGH CHOICE: +25 or ONLY you get a piece of candy
2
The two lines represent the amount of water, over time, in two tanks that are the same size. Which container is filling more quickly? Explain how you know.
Container A is filling more quickly. Choose a time and see how much water is in the two containers at that time. There is more water is container A at the same time.
-250 PTS
2
What is the Constant of Proportionality of the table? 
3/4 or 0.75
FIRST PLACE AND LAST PLACE SWAP POINTS
3
X Y
1 6
2 12
5 ??
?? = 30
COP = 6, 5 x 6 = 30
-100 PTS
3
Does this equation represent a proportional relationship? Explain how you know.
y=2x3
NO! The relationship is not proportional, because it has an exponent. It does not follow the form, y=kx.
-1 PT
3
Which mixture would be the lightest? (Uses the most white paint per cup of blue paint)
Mixture 1. For the same amount of blue paint, mixture 1 uses the most white paint.
+600 PTS
3
What is the C.O.P of the graph?
C.O.P = 8
Example: (2,16), to find the COP = y/x, 16/2=8
+299 PTS
4
Does the table show a proportional relationship?
0 0
2 10
3 15
4 20
Yes, it starts at (0,0) and COP = 5
CHOICE TIME:
+25 PTS or ROCK, PAPER, SCISSORS
you can only play other teams. Everyone you beat is +100, but when you lose it's -250.
4
The equation y = 10x-8 represents the height of a plant, y, after weeks, x.
Determine whether there is a proportional relationship. Explain or show your reasoning.
No! It is not proportional because it does not follow the form y=kx. (The graph would not start at (0,0))
SPIN THE WHEEL
4
The graph shows the cost c in dollars of, w, pounds of blueberries. What does the point (6, 16.50) represent?
6 pounds of blueberries cost $16.50
-200 PTS, but if your team can guess my fav color, you instead get +100 PTS
4
What is the Constant of Proportionality in the equation?
d = 8t
COP = 8
-200 PTS
5
Apples Cost
3
5 1.5
12
3 apples cost $0.90
12 apples cost $3.60
-500 PTS
5
Does the equation represent a proportional relationship? Explain how you know.
d = 0.25t
Yes! It is proportional. Even though it is a decimal, it still follows the form, y=kx.
+15 PTS
5
The graph shows the relationship between tablespoons of oil, y, and 2 tablespoons of vinegar, x, needed for a salad. What does the point (1, 1.5) represent on the line?
For the recipe when you need 1 tablespoon of vinegar, you need 1.5 tablespoons of oil.
+800 PTS
5
What is the Constant of Proportionality of the graph?
COP = .5 or 1/2
(10,5) COP = y/x, 5/10=.5
SPIN THE WHEEL