Introducing Proportional Relationships with Tables

​Proportional Relationships with Tables

​X	​Y	​y/x
​4	​12	​12/4=3
​5	​15	​15/5=3
​7	​21	​21/7=3

​In the table y/x gives us the constant of proportionality. A variable that we will often use for constant of proportionality is k.
In this case k = 3.

​Vocabulary

Constant of Proportionality - In a proportional relationship, the values for one quantity are each multiplied by the same number to get the values for the other quantity. This number is called the constant of proportionality.

​Here is a table that shows how many rolls of paper towels a store receives when they order different numbers of cases.

As you can see there is 12 rolls per case of paper towels.

12 is called the constant of proportionality because each case constantly has 12 rolls. In order to calculate how many paper towels you have you multiply the number of cases by 12.

​A recipe says that 2 cups of dry rice will serve 6 people.

How many people will 10 cups of rice serve?

​The constant of proportionality is the number of cups of flower divided by the tbsp of honey. It will need to be put in simplified form.

Multiple Select

What is the constant of proportionality in this situation?

Select all that apply.

• $$\frac{5}{4}$$

• $$1\ \frac{1}{4}$$

• $$1.25$$

• Skibidi

Multiple Select

How many cups of flour should be mixed with 20 tablespoons of honey?

• 25

• 24

Multiple Select

How many cups of flour should be mixed with 13 tablespoons of honey?

• 16

• 16.25

Multiple Select

How many tablespoons of honey should be used with 20 cups of flower?

• $$20\left(\frac{4}{5}\right)$$

• 16

• skibidi

Drag and Drop

This table shows a proportional relationship between ​

Placeholder

and ​​

Placeholder

Drag these tiles and drop them in the correct blank above

tablespoons of chocolate syrup

cups of milk

Multiple Select

The constant of proportionality is? Select all that apply.

• $$\frac{3}{2}$$

• $$1.5$$

• sigma

• $$1\ \frac{1}{2}$$

Multiple Choice

This is the same as the constant of proportionality. This is also known as the unit rate.

• $$\frac{3}{7}$$

• skibidi

• sigma

• the rizzler

Multiple Choice

• 2

• 2.5

• 4.8

• 8.4

Multiple Choice

• Yes, k = 15

• No

Multiple Choice

• Yes

• No

Multiple Choice

• Yes, k = 4

• Yes, k = 8

• yes, k = 16

• Yes, k = 32

Multiple Choice

• yes, k = 33

• Yes, k = 23

• No

• Yes, k = 3

Multiple Choice

• Yes, k = 2

• Yes, k = 15

• Yes, k = 30

• Yes, k = 25

Multiple Choice

• Yes, k = 17

• No

• Yes k = 8

• Yes, k = 7