Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, defined as the ratio of one quantity to another.

Tags

CCSS.7.RP.A.2B

Front

How do you find the constant of proportionality from an equation?

Back

In an equation of the form y = kx, the constant of proportionality (k) is the coefficient of x.

Tags

CCSS.7.RP.A.2B

Front

What does a constant of proportionality of k = 4 mean in a real-world context?

Back

It means that for every unit increase in x, y increases by 4 units.

Tags

CCSS.7.RP.A.2B

Front

If y = 3x, what is the constant of proportionality?

Back

k = 3.

Tags

CCSS.7.RP.A.2B

Front

What is the relationship between proportionality and linear equations?

Back

Proportional relationships can be represented by linear equations that pass through the origin (0,0).

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CCSS.7.RP.A.2C

Front

If a graph shows a straight line through the origin, what can you conclude?

Back

The relationship is proportional, and the slope of the line represents the constant of proportionality.

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CCSS.7.RP.A.2D

Front

How can you determine if a table represents a proportional relationship?

Back

Check if the ratios of corresponding values are constant across the table.

Tags

CCSS.7.RP.A.2A

Front

What does it mean if a relationship is not proportional?

Back

It means that the ratio of the two quantities is not constant.

Tags

CCSS.7.RP.A.2A

Front

If the constant of proportionality is k = 1/2, what does this imply?

Back

For every 2 units of x, y increases by 1 unit.

Tags

CCSS.7.RP.A.2B

Front

What is the equation for a proportional relationship with a constant of proportionality of k = 5?

Back

y = 5x.

Tags

CCSS.7.RP.A.2C