Representing and Comparing Proportional Relationships

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 quantity is constant.

Front

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

Back

A table represents a proportional relationship if the ratios of the corresponding values are equal.

Front

What is the constant of proportionality?

Back

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

Front

How can you identify a steeper line in a graph?

Back

A steeper line has a greater slope, which means it rises more quickly as you move from left to right.

Front

What does it mean if two lines have the same steepness?

Back

If two lines have the same steepness, they have the same slope and represent the same constant of proportionality.

Front

If Kameron spends $15 per day and Myriah spends $20 per day, who spends more?

Back

Myriah spends more per day.

Front

What is the slope of a line in a graph?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

How do you compare two rates of production?

Back

To compare two rates of production, look at the number of items produced per unit of time and determine which is greater.

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

What does it mean if a graph does not show a constant rate?

Back

If a graph does not show a constant rate, it means the relationship between the variables is not proportional.