Representing Proportional Relationships

Front

What is a proportional relationship?

Back

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

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity per 1 unit of another quantity.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate, divide the first quantity by the second quantity.

Front

What does it mean if a graph is linear?

Back

A linear graph represents a constant rate of change, meaning the relationship between the variables is proportional.

Front

What does it mean if a graph is not proportional?

Back

If a graph is not proportional, it means that the ratio between the two quantities changes and is not constant.

Front

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

Back

If the ratios of corresponding values are equivalent, the relationship is proportional.

Front

What is the formula for finding the slope of a line?

Back

The slope (m) is calculated as the change in y divided by the change in x (m = Δy/Δx).

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

How do you convert a rate to a unit rate?

Back

To convert a rate to a unit rate, divide the numerator by the denominator to express it per one unit.

Front

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

Back

An example is the relationship between distance and time when driving at a constant speed.