Exploring Constant of Proportionality in Tables

What is a rate of change?

• A fixed number

• A ratio describing how one quantity changes in relation to another

• A constant value

• A variable that changes over time

Tags

CCSS.HSF-LE.A.1B

What is a proportional relationship?

• When two quantities change randomly

• When two quantities have a constant rate of change

• When two quantities are unrelated

• When one quantity is always greater than the other

Tags

CCSS.7.RP.A.2A

How is the constant of proportionality (k) calculated?

• By multiplying x and y

• By dividing y by x

• By subtracting x from y

• By adding x and y

Tags

CCSS.7.RP.A.2B

What is the equation of a proportional relationship?

• y = k / x

• y = k - x

• y = k + x

• y = k * x

Tags

CCSS.7.RP.A.2C

In the ordered pair (9, 18), what is the constant of proportionality?

• 3

• 2

• 1

• 4

Tags

CCSS.7.RP.A.2B

If a table has a constant proportionality of 2 for all pairs, is it a proportional relationship?

• Only if the pairs are fractions

• No

• Yes

• Only if the pairs are integers

Tags

CCSS.7.RP.A.2A

What should you do if the constant of proportionality is not the same for all pairs in a table?

• Assume a calculation error

• Check the pairs again

• Ignore the differences

• Conclude it is not a proportional relationship

Tags

CCSS.7.RP.A.2B

In the example where y = 60 and x = 2, what is the constant of proportionality?

• 40

• 30

• 20

• 15

Tags

CCSS.7.RP.A.2B

How do you write the equation of a proportional relationship if the constant of proportionality is 30?

• y = 30 + x

• y = 30 - x

• y = 30 / x

• y = 30 * x

Tags

CCSS.7.RP.A.2C

If the constant of proportionality is 1/31, what is the equation of the proportional relationship?

• y = x + 31

• y = 1/31 * x

• y = x / 31

• y = 31 * x

Tags

CCSS.7.RP.A.2C