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' in the equation y = kx.

Tags

CCSS.7.RP.A.2B

Front

Which best describes a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases, the other increases at a consistent rate.

Tags

CCSS.7.RP.A.2D

Front

How can you identify a proportional relationship from a graph?

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 the formula to find the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Tags

CCSS.7.RP.A.2B

Front

If a table shows values of x and y, how can you determine if the relationship is proportional?

Back

To determine if the relationship is proportional, calculate the ratio y/x for each pair of values. If the ratio is constant, the relationship is proportional.

Tags

CCSS.7.RP.A.2A

Front

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship means that the ratio between the two quantities is not constant; as one quantity changes, the other does not change at a consistent rate.

Tags

CCSS.7.RP.A.2D

Front

If the constant of proportionality is 3, what does this imply about the relationship between x and y?

Back

If the constant of proportionality is 3, it implies that for every unit increase in x, y increases by 3 units.

Tags

CCSS.7.RP.A.2B

Front

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

Back

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

Tags

CCSS.7.RP.A.2A

Front

How do you find the price per item if you know the total cost and the number of items?

Back

To find the price per item, divide the total cost by the number of items. For example, if the total cost is $252 for 4 tickets, the price per ticket is $252/4 = $63.

Tags

CCSS.6.RP.A.2

CCSS.6.RP.A.1

Front

What is the significance of the origin in a proportional graph?

Back

The origin (0,0) is significant in a proportional graph because it indicates that when there is no input (x=0), the output (y) is also zero.

Tags

CCSS.7.RP.A.2D