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 two quantities are proportional?

Back

Two quantities are proportional if they can be expressed as equivalent ratios.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity of one.

Front

If a recipe calls for 1/2 cup of milk for every 3/4 cup of flour, how much milk is needed for 1 cup of flour?

Back

2/3 cup of milk is needed for 1 cup of flour.

Front

What does the slope represent in a distance-time graph?

Back

The slope represents the rate of change of distance with respect to time, or the speed of the object.

Front

If a car travels 300 miles in 5 hours, what is the unit rate of miles per hour?

Back

The unit rate is 60 miles per hour.

Front

What is the relationship between distance and time in a proportional relationship?

Back

In a proportional relationship, as one quantity increases, the other quantity increases at a constant rate.

Front

What does it mean if two quantities do not have a proportional relationship?

Back

It means that the ratio between the two quantities is not constant.

Front

If Carmela walked 3 miles in 3/4 hour, what is her speed in miles per hour?

Back

Carmela's speed is 4 miles per hour.

Front

If Hari walked 2 miles in 1/2 hour, what is his speed in miles per hour?

Back

Hari's speed is 4 miles per hour.