Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant ratio between two proportional quantities, often represented as 'k'.

Tags

CCSS.7.RP.A.2B

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, identify two points on the line, (x1, y1) and (x2, y2), and use the formula k = y/x.

Tags

CCSS.7.RP.A.2B

Front

What does a proportional relationship look like on a graph?

Back

A proportional relationship on a graph is represented by a straight line that passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

If k = 2, what does this imply about the relationship between x and y?

Back

If k = 2, it implies that for every unit increase in x, y increases by 2 units, indicating a direct proportionality.

Tags

CCSS.7.RP.A.2D

Front

What is the formula for finding the constant of proportionality using a table of values?

Back

The formula is k = y/x, where y is the output value and x is the input value.

Tags

CCSS.7.RP.A.2B

Front

How can you determine if a relationship is proportional from a table?

Back

A relationship is proportional if the ratio of y to x is constant for all pairs of values in the table.

Tags

CCSS.7.RP.A.2A

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Tags

CCSS.7.RP.A.2D

Front

In the context of work and pay, how is the constant of proportionality represented?

Back

In work and pay, the constant of proportionality represents the amount earned per unit of work, such as dollars per hour.

Tags

CCSS.7.RP.A.2C

Front

What is the significance of the constant of proportionality in real-world applications?

Back

The constant of proportionality helps to understand and predict relationships between quantities in various real-world scenarios, such as speed, density, and cost.

Tags

CCSS.7.RP.A.2D

Front

How do you calculate the missing value in a proportional relationship?

Back

To calculate the missing value, set up a proportion using the known values and solve for the unknown.

Tags

CCSS.7.RP.A.2B