Find the Constant of Proportionality from a Table

• A

• B

• C

• D

How do you know if a table is proportional?

• x-y is the same for each ordered pair

• The cross products are equal

• x + y is the same for each ordered pair

• It has a constant of proportionality

The constant of proportionality can also be called the...

• Equation of a proportional relationship

• Unit Rate

• Origin

• Y-intercept

What is the equation for the following proportional table?

• x = 12y

• y = 1/12 x

• y = 12x

• x = 1/12 y

What characteristic do you look for in the table in order to decide whether the relationship is proportional?

• The amount earned divided by the number of days is constant for each pair of values in the table.

• The amount of days that are worked go up to 5.

• The amount earned multiplied by the amount earned is constant for x and y.

There is a proportional relationship between the time (in days) Layla spends making porch swings, x, and the number of swings she builds, y. What is the constant of proportionality? Remember: k=y/x

• k = 1/5

• k = 5

From the table, determine if the relationship is proportional? What is the equation?

• No, its not proportional

• Yes, it's proportional. y = 4.5x

• yes, it's proportional. y= 4x

Does the table show a proportional relationship? What is the equation?

• Yes, y = 6x

• No, this is not proportional

• Yes, y = 12x

Does the table represent a proportional relationship? Write an equation for the table.

• Yes , y=5x

• No, not proportional

• Yes, 5 = 5y

The table shows a proportional relationship. Which equation represents this information correctly?

• y = 9.50x

• y = 9x

• y = 9. 25x