Constant or Proportionality from Tables
Constant of Proportionality from Graphs
Unit Rates from Words
Equations
Mystery Proportion Trivia
100
Drew paints portraits. Find the constant of proportionality if it is a proportional relationship
Number of portraits = x Time (in hours) = y
1 5
2 10
3 15
4 20
5
100
Find the constant of proportionality with correct units
5 gallons per min
100
Morgan bought 6 packs of batteries and got 24 batteries. Joshua bought the same kind of packs and got 28 batteries in 7 packs. Find the number of batteries in one pack.
4 batteries per pack
100
Given the equation y = 7x where x is the number of bags and y is the number of apples. How many apples do you have if you buy 11 bags?
What is 77?
100
Operations we never ever ever do in a proportion.
What are addition and subtraction?
200
The table shows the amount earned by Harry for selling ice cream. Find CoP.
Cups Sold = x 3 5 7 9
Earnings ($) = y 12 20 28 36
CoP = 4
200
Find k.
k = 3
200
Michael worked 40 hours in a week and made $860 How much did Michael earn per hour?
$21.50 per hour
200
The equation y = 4x shows the number of breads baked based on the amount of flour used. Where x is the number of bread loaves made and y is the cups of flour used. How much flour do you need to make 32 loaves of bread?
What is 128?
200
Our best friend that we should always find when trying to solve a proportion.
How many per 1? The unit rate! Woohoo!
300
Fred wrote notes during an exam. Find CoP (with correct units) if it is a proportional relationship.
Notes (pages) 11 9 10
Time (in hours) 23 18 20
It is not proportional, there is no CoP.
300
Find the constant of proportionality with correct units
60 miles per hour
300
Last month, Julie brought 5 pounds of cans in to recycle and was paid $2. Find what she gets per pound.
$0.40/pound
300
The number of milk bottles sold can be determined by the equation y = 12x, where y is the number milk bottles and x is the number of milk crates. If I sold 72 milk bottles, how many crates of milk did I sell?
What is 6 crates?
300
The number we multiply or divide by in a proportion to get from the x value to the y value.
What is the Constant of Proportionality?
400
A ferry transports bikes to an island. Write CoP.
Number of bikes (x) 10 12 14
Number of trips (y) 5 6 7
CoP = 0.5 or ÷2
400
What is K?
k = 1.2
400
Shoprite sells a 6 oz bag of popcorn for $3.96. Costco sells a 10 oz bag for $6.50. What is the better buy?
Costco
400
Write an equation for the following table.
| x | y |
|---|---|
| 4 | 3 |
| 16 | 12 |
What is 3/4x = y?
400
Rewrite 0.25x=y using division instead of multiplication.
x÷4=y
500
Alice bought comics. Find the CoP (with correct units) if the table shows a proportional relationship.
Number of comics 2 4 6
Price (dollars) 6 12 16
It is not proportional, there is no CoP.
500
Find the constant of proportionality with correct units
k =46
500
If 5 pounds of beef cost $29, how much would would 8 pounds of beef cost?
$46.40
500
Write an equation for the following table.
| x | y |
|---|---|
| 11.2 | 212.8 |
| 7.5 | 142.5 |
What is 19x = y
500
How can you tell if a table, graph, and equation are NOT a proportion. You must answer for all 3 and can use visual aids rather than words.
Table: it is multiplying or dividing by different numbers.
Graph: not a straight line or not starting at (0,0).
Equation: adding or subtracting, multiplying or dividing by a variable.