Finding Constant of Proportionality from a Table

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

• Yes , y=5x

• No, not proportional

• Yes, 5 = 5y

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.

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

• 45

• 90

• 135

• 2

What is the constant of proportionality for this table?

• 1/9

• 9

• 8

What is the constant of proportionality?

Mathematical Equivalence

ON

The table shows a proportional relationship. Select the equation to match the table.

• y = 1x or y = x

• y = 18x

• y = 6x

• y = y

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

• Yes, y = 6x

• No, this is not proportional

• Yes, y = 12x

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

• y = 9.50x

• y = 9x

• y = 9. 25x