FA 3.2 Proportional Relationships/Scale Factor

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

What does the term 'scale factor' mean?

Back

The scale factor is a number that scales, or multiplies, a quantity. In proportional relationships, it is the constant ratio between corresponding values.

Front

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

Back

A table represents a proportional relationship if the ratios of the values are constant and the graph passes through the origin.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the ratio of two measurements in which the second quantity is 1. It represents how much of one quantity corresponds to one unit of another.

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = mx, where m is the constant of proportionality.

Front

How do you identify the constant of proportionality in a table?

Back

To identify the constant of proportionality, divide the values of one quantity by the corresponding values of the other quantity. If the result is the same for all pairs, it is constant.

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.

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

How can you tell 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.

Front

What is the significance of the slope in a proportional relationship?

Back

The slope of the line in a proportional relationship represents the constant of proportionality.