Comparing Proportional Relationships (P.3)

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 can you determine if two quantities are in a proportional relationship using a graph?

Back

If the graph of the two quantities is a straight line that passes through the origin, then the quantities are in a proportional relationship.

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope of a line in a proportional relationship represents the constant rate of change between the two quantities.

Front

How do you calculate the unit rate from a proportional relationship?

Back

The unit rate can be calculated by dividing the total amount of one quantity by the total amount of the other quantity.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Front

If Mrs. Hendren's water use is represented by y = 4.5x, what does 4.5 represent?

Back

In the equation y = 4.5x, 4.5 represents the rate of water use in gallons per minute.

Front

How do you compare two rates to determine which is greater?

Back

To compare two rates, you can calculate the unit rate for each and then compare the values.

Front

What is the significance of the constant of proportionality in a real-world context?

Back

The constant of proportionality indicates how much one quantity changes in relation to another, providing insight into the relationship between the two.

Front

How can you find the total cost if you know the cost per item and the number of items?

Back

You can find the total cost by multiplying the cost per item by the number of items.

Front

What does it mean if one person pays more per item than another in a proportional relationship?

Back

It means that the constant of proportionality (or unit rate) for that person is greater than that of the other person.