Is it Proportional?

Front

What is proportionality?

Back

Proportionality refers to a relationship between two quantities where their ratio is constant. If one quantity increases, the other increases at a consistent rate.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities. It is often represented as 'k' in the equation y = kx.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified on a graph if the line passes through the origin (0,0) and is straight.

Front

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

Back

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

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

If y = 75x, what type of relationship is this?

Back

This is a proportional relationship because it can be expressed in the form y = kx, where k is the constant of proportionality (75 in this case).

Front

How do you calculate the constant of proportionality from a table of values?

Back

To calculate the constant of proportionality, divide the value of y by the value of x for any pair of corresponding values.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) signifies that when one quantity is zero, the other quantity is also zero, which is a key characteristic of proportional relationships.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the equation y = 2x + 3, as it does not pass through the origin.

Front

How can you determine if a situation is proportional based on a word problem?

Back

Look for consistent ratios between the quantities involved and check if the relationship can be expressed as y = kx.