Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It remains constant as the values change.

Tags

CCSS.7.RP.A.2B

Front

How do you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratio of the values in the table remains constant.

Tags

CCSS.7.RP.A.2A

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second term is 1. For example, if 100 dollars are earned for each hour worked, the unit rate is $100/hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If $500 is earned for every 8 hours worked, what is the constant of proportionality?

Back

The constant of proportionality is k = 500/8 = 62.5.

Tags

CCSS.7.RP.A.2B

Front

Write an equation that represents the relationship between weight (x) and cost (y) if the cost is $4 per pound.

Back

y = 4x.

Tags

CCSS.7.RP.A.3

Front

What does it mean if k = 1.50 in a proportional relationship?

Back

It means that for every unit increase in x, y increases by 1.50 units.

Tags

CCSS.7.RP.A.2B

Front

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

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Tags

CCSS.7.RP.A.2A

Front

If a table shows values (2, 6), (4, 12), and (6, 18), is this a proportional relationship?

Back

Yes, because the ratio of y to x is constant (3).

Tags

CCSS.7.RP.A.2A

Front

What is the formula for finding the constant of proportionality from a graph?

Back

The constant of proportionality can be found by dividing the y-value by the x-value for any point on the line.

Tags

CCSS.7.RP.A.2B