Graphs
Equations
Tables
Constant of Proportionality
Suprise
100
What two things does a graph need to have to be proportional?
It is a straight line (linear)
It goes through the origin.
100
Is this equation proportional?
Y = 2x + 6
Bonus 100 points if you can explain how you know.
No
Not in the form y = kx
The + 6 causes the graph to not go through the origin.
100
Is this Table Proportional
Nope. The unit rates are not the same.
100
The table above is Proportional. Find The Constant of Proportionality
C.O.P. = y/x = 90/2 = 45
100
8 out of 25 students prefer green jolly ranchers. What % of students prefer green?
32%
200
Is this Graph Proportional? Explain.
NO!!!
The line does not go through the origin.
200
Is this equation proportional?
y = 7x
If so, what is the Constant of Proportionality?
YES
7
200
Does This Table Have A Proportional Relationship?
Amusement Park Tickets:
Yes. The unit rates are all the same.
$75 per ticket.
200
Find The Constant of Proportionality for the grams per egg. Write your final answer in a sentence.
The C.O.P. is 42 grams per egg.
200
There is a sale at LIDS offering 30% off. Mr. Dening decides to buy a new hat that has an original price of $45. What price will he pay for the hat?
$31.50
300
Is this Graph Proportional?
How do you know?
Yes
It is a line through the origin.
300
It takes Tommy 4 minutes to send 18 texts. There is a proportional relationship between the minutes (x) and the texts (y).
Write an equation for the situation.
Hint: first find the C.O.P.
C.O.P. =
y/x = 18/4 = 4.5
y = 4.5x
300
Is This Table Proportional? If so, what is the C.O.P. ?
Yup. It has a constant rate.
C.O.P. = y/x = 2/8 = 1/4 or 0.25
300
Find The Constant of Proportionality. If your answer is a repeating decimal, write it as a simplified fraction.
1/6
300
Which is the longest running television series in history?
400
Is This Graph Proportional?
How do you know?
NOPE
It is not linear (not a straight line).
400
y = 3x + 8
Is this Proportional?
If so, what is the Constant of Proportionality?
NOT PROPORTIONAL
No Constant of Proportionality
400
What is the missing number that would make this table proportional?
20
400
Find the Constant of Proportionality and write an equaiton.
C.O.P. = 6
EQ: y = 6x
400
Which American rapper's real name is Marshall Mathers?
Eminem
500
Which Line (Top or Bottom) is Proportional and why?
The Bottom One because it is a line through the origin.
500
Write an equation for the graph below:
C.O.P. =
y/x = 6/5 = 1.2
EQ: y = 1.2x
500
Is the table Proportional? Explain how you know:
No, the unit rates are not the same.
500
Does the table below have a proportional relationship?
If so what is the C.O.P. and write an equation.
Yes the table is Proportional.
The C.O.P. is 0.75
Equation: y = 0.75x
500
What are the names of Mrs. Dening's 4 dogs?
(You must get at least 2)
Lola, Mushu, Remy, and Gus Gus