Finding the Constant of Proportionality

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

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

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

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.

A submarine dives 300 feet every 2 minutes, and 6,750 feet every 45 minutes. Find the constant rate at which the submarine dives.

• 45 ft. per minute

• 300 ft. per minute

• 150 ft. per minute

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

For the equation: k=y/x, the variable k is called the...

• Constant, and it represents the constant rate of change or constant ratio between x and y

• Coefficient, and it represents the constant rate of change or constant ratio between x and y

• x factor, and it represents the constant rate of change or constant ratio between x and y

• y factor, and it represents the constant rate of change or constant ratio between x and y

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

• y = 9.50x

• y = 9x

• y = 9. 25x

Write an equation using the constant of proportionality.

• y = 5x

• y = 4x

• y = 8x

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

• y = 1x or y = x

• y = 18x

• y = 6x

• y = y