Show:
Constant of Proportionality
Ratios
Tables
Graphs
Equations
100
What is another term for "Constant of Proportionality"?
Unit Rate
100
What is a ratio?
An ordered pair of numbers comparing quantities (A:B)
100
In a table, which side is "x" and which side is "y"?
X is left and Y is right
100
Which axis is the "x axis"?
left to right
100
What is the format for the equation of a proportional relationship?
y=k(x)
200
What is the unit rate/constant of proportionality?
A unit of one Example: 6 cookies per 1 pan
200
Write the ratio for 2 girls to 3 boys in this class
2:3
200
How do you find the unit rate in a table?
divide y _ x
200
Which axis is the "y axis"?
up and down
200
In the equation y=k(x), what is the constant of proportionality?
K
300
How do you determine the Unit Rate/Constant of Proportionality?
Divide y __ x
300
How do you find the unit rate of a ratio? 3:6
Divide them y _ 6÷3= 2 x
300
For a table to show a proportional relationship, what has to be true about the unit rates?
They all have to be the same!
300
What is the origin and what does it mean?
(0,0) if you do not work, you do not earn money
300
Where do you get your "y" from?
the Y coordinate of a coordinate pair or the right or bottom side of a table
400
In the equation y=k(x), what is the constant of proportionality/unit rate?
k
400
Which ratio is equivalent to: 20 cats for every 4 dogs 10 cats for every 3 dogs 40 cats for every 10 dogs 60 cats for every 12 dogs 20 cats for every 8 dogs
60 cats for every 12 dogs 4/20=1/5 12/60 can also be reduced to 1/5
400
Look at the table printed for you.... Does this represent a proportional relationship?
Yes, y is proportional to x because all of the unit rates are the same!
400
What are the two ways to tell if a graph is a proportional relationship or not?
1.) The line goes through the origin 2.) The line is straight.
400
Where do you get your "x" from?
The first number in a coordinate pair or the left/top side of a table.
500
If I buy 6 roses for $18, what is the unit rate?
3 $3 for 1 rose
500
At Euclid Middle School, of the 30 girls who tried out for the lacrosse team, 12 were selected and of the 40 boys who tried out, 16 were selected. Are the ratios of number of students on the team to number of student trying out the same for both boys and girls? How do you know?
Yes, 12:30 and 16:40 or 2:5
500
Using a table, answer the following question: There is a proportional relationship between the number of weeks that Carmen works and the amount of money that she earns. This is shown in the table below. How much money could you expect her to earn after 8 weeks?”
$96
500
Using the following table, write an equation for the problem: Each school year, the 7th graders who study Life Science participate in a special field trip to the city zoo. In 2010, the school paid $1260 for 84 students to enter the zoo. In 2011, the school paid $1050 for 70 students to enter the zoo. In 2012, the school paid $1395 for 93 students to enter the zoo.
P=15(S)