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 is constant.

Front

What does it mean if a graph does not pass through (0,0)?

Back

If a graph does not pass through (0,0), it indicates that the relationship is not proportional.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

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 (0,0).

Front

Which equation represents a proportional relationship? y = 3x or y = 5x - 7?

Back

y = 3x represents a proportional relationship because it has a constant rate of change.

Front

What is the slope of a proportional relationship?

Back

The slope of a proportional relationship is the constant ratio of the change in the y-value to the change in the x-value.

Front

If Restaurant S serves 82 people per day, what is the equation for the number of people served in x days?

Back

The equation is y = 82x.

Front

What does it mean if two equations represent the same proportional relationship?

Back

It means they have the same slope and pass through the origin.

Front

How do you determine which of two proportional relationships serves more people?

Back

Compare the equations or slopes; the one with the higher slope serves more people.

Front

What is the significance of the y-intercept in a proportional relationship?

Back

In a proportional relationship, the y-intercept is always 0.