Proportional relationships in graphs

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

How can you identify 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).

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, the ratio between the two quantities is not constant, and the graph does not pass through the origin.

Front

What is the constant of proportionality?

Back

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

Front

If y = 50x, what is the constant of proportionality?

Back

The constant of proportionality is 50.

Front

What does the equation y = 1x represent?

Back

The equation y = 1x represents a proportional relationship where the constant of proportionality is 1.

Front

How do you determine if a set of data points is proportional?

Back

To determine if a set of data points is proportional, calculate the ratio of y to x for each point; if the ratios are all the same, the relationship is proportional.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant in proportional relationships because it indicates that when one quantity is zero, the other quantity is also zero.

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.

Front

If a graph does not pass through the origin, what can you conclude?

Back

If a graph does not pass through the origin, you can conclude that the relationship is not proportional.