Constant of Proportionality

Constant of Proportionality

Math Goals

• I can find the constant of proportionality in a table

• I can write an equation using the constant of proportionality

• I can use the equation to solve real world examples

Multiple Choice

Does the table show a proportional relationship?

• No

• Yes

Multiple Choice

Does the table show a proportional relationship?

• No

• Yes

Multiple Choice

What is the correct way to find the constant of proportionality?

• $$\frac{x}{y}$$

• $$\frac{y}{x}$$

Constant of Proportionality

remember, in order to find the constant of proportionality you need to do:

 $y\div x\$  or  $\frac{y}{x}$  

Multiple Choice

The table represents the price of McDonald's Value Meals. What is the constant of proportionality?

• 5.25

• 10.50

• 5

• 2

Multiple Choice

What is the constant of proportionality?

• 1/3

• 3

• 5

• 1/5

Multiple Choice

What is the constant of proportionality for this table?

• $1/9 per hour
• $9 per hour
• $8 per hour

Fill in the Blanks

The constant of proportionality for this table is...

Writing equations for tables

• first find the constant of proportionality

• the format of the equation is y = kx

• replace the k value with the constant of proportionality

Multiple Choice

Determine the constant of proportionality for the table. Express your answer as y = kx

• 33

• y = 1/3x

• y = 33x

• y = 33

Multiple Choice

Determine the constant of proportionality for the table. Express your answer as y = kx

• y = 33x

• y = 0.003x

• x = 33y

• 33k

Multiple Choice

Determine the constant of proportionality for the table. Express your answer as y = kx

• y = 30k

• y = 30x

• y = 0.03x

• y = 9x

Multiple Choice

Determine the constant of proportionality for the table. Express your answer as y = kx

• y = 1/2x

• x = 1/2y

• y = 2x

• k = x

Multiple Choice

Write the equation for the table given.

• y = 16x
• y=8x
• y=12x

Multiple Choice

Write an equation for this relationship.

• y = 18x
• y = 18.50x
• y = 22.50x
• y = 22x

Fill in the Blanks

Given the proportional equation, y = 2.5x what is the value of y is x=5

Fill in the Blanks

Given the proportional equation y = 2.5x, what is the value of x if y = 37.5?

Multiple Choice

A school is raising money by selling Care Packages for $7.50 each. How much will they raise if they sell 120?

• $850

• $900

• $950

• $1200

Review of Math Goals

• I can find the constant of proportionality in a table

• I can write an equation using the constant of proportionality

• I can use the equation to solve real world examples

Open Ended

Explain what you learned about the constant of proportionality.