2-3 Understand Proportional Relationships: Equivalent Ratios

Greg has a bakery. He makes cupcakes. The table below shows cupcakes made by him for number of hours. Does the table represent a proportional relationship?

• Yes, all ratios are equal.

The relationship between x and y is proportional. When x is 4, y is 48. What is x when y is 132? Choose the equation that represents the situation.

What is the constant of proportionality?

• X $3

• X $4

• X $2

• X $9

The constant of proportionality can be found by finding the __________  _____________.

• unit rate
• ratio rate
• proportion answer
• rational number

Is this table Proportional?

• Yes, because the COP is different each time.

• Yes, because the COP is always X9.

• No, because the numbers are all different.

• No, because the COP changes each time.

REVIEW QUESTION
Is this table proportional or non-proportional?

• Proportional
• Non-Proportional

Find the constant of proportionality on this table of values.

• k=3

• k=1

• k=0

• k=4

In the equation y = 14x, what is the constant of proportionality?

• y
• x
• 14
• y=14

What is the constant of proportionality (in miles per hour) based on the table?

• 45
• 90
• 135
• 2