Proportional Graphs
Proportional Equations
Identifying Proportional Relationships
Vocab
Random
100
The coordinate point for the origin.
What is (0,0)?
100
Is this equation proportional? y= 3x
If so what is the constant of proportionality?
Yes
k=3
100
When you are FINDING the Constant of Proportionality, do you divide " Y by X " or do you divide " X by Y "?
You divide " Y by X "
100
The number we multiply one quantity by to calculate the other quantity.
What is the Constant of Proportionality?
100
Maya biked 5/6 mile in 1/3 hour.
What is her speed in miles per hour?
5/2 miles per hour or 2 1/2 miles per hour or 2.5 miles per hour
200
The coordinate point on any proportional graph that shows the Constant of Proportionality.
What is (1,k) or (1, CP)?
200
Is this equation proportional? Explain why or why not.
y= 4x + 10
Not proportional because the equation shows addition and proportional relationships are multiplicative only.
200
Is this a graph of a proportional relationship? Explain why or why not.
No, because the graph does not start at the origin.
200
When one quantity is multiplied by a constant value to calculate a second quantity.
What is a proportional relationship?
200
It takes Bart 10 minutes to finish writing "I will not talk in school" 30 times. How long would it take him to "I will not talk in school" 90 times?
.
It will take Bart 30 minutes.
300
what are 3 ways to tell if a graph is proportional
(Need to get all 3 for full points)
if the line is straight and diagonal
goes through the origin
300
Is this equation proportional? Explain why or why not.
y= ¾ x
proportional
k= 3/4
300
Does this table show a proportional relationship? Explain why or why not.
No, because there is not a constant rate.
300
All proportional relationships can be represented with this equation.
What is y=kx?
300
The two quantities in the proportional relationship.
What is "Earth weight" and "Moon Weight"?
400
Is this graph proportional? Explain why or why not.
Yes the graph is proportional because for every 1 hour the total cost is $50.
400
Write an equation for this situation:
Elena jogged at a constant speed. She ran 3 laps in 5 minutes. Write an equation where d represents distance in laps and t represents time in minutes.
d = 0.6t or d = (3/5)t
t = 1.66d or t = (5/3)d
400
Is the table proportional? Explain why or why not.
Yes, it is proportional and the CP is 9.
400
The coordinate point on a graph that all proportional relationships must go through.
What is (0,0)?
400
Sarah is training for a 5K (3.1 miles) run. She decides to track her progress by recording the time it takes her to run different distances. After running 1 mile, she completes it in 8.5 minutes.
If her time is proportional to the distance she runs, how long would it take her to run the 5k at that constant pace?
26.35 minutes
500
Is this graph proportional? Explain why or why not.
No because the graph does not start at the origin.
500
Write an equation for this situation AND answer the question.
If Ms. Schroeder needs 25 yards of yarn to crochet a blanket. Let x represent the number of blankets and y represent yards of yarn. How many yards would she need to crochet 5 blankets?
y = 25x
125 yards of yarn500
Dos this table show a proportional relationship? Explain why or why not.
No, because there is not a Constant of Proportionality.
500
The way two constants of proportionality for any one proportional relationship are related.
What is a reciprocal?
500
Write an equation for this situation:
y=$5.50x
600
Which of the following are not proportional?
A, B, D
600
Using this graph, What is the equation?
y = 20x
600
Is the graph proportional? If yes, write an equation. If no, explain why.
Yes, y = (1/6)x
600
The constant of proportionality is also a form of this. (Hint: it's two words)
What is a unit rate?
600
A bakery uses 5/6 bag of flour to bake 3/4 tray of muffins. At this rate, how many bags of flour are needed for 2 trays of muffins?
2 1/4 bags or 2.25 bags