Understanding 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 find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if there are 624 calories in 3 servings, the unit rate is 624 ÷ 3 = 208 calories per serving.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented in the equation y = kx.

Front

In the equation y = 14x, what is the constant of proportionality?

Back

The constant of proportionality is 14.

Front

If the constant of proportionality is 9, what is the relationship between y and x?

Back

The relationship can be expressed as y = 9x.

Front

What does it mean if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant slope.

Front

Is the graph of y = 2x + 3 proportional?

Back

No, because it does not pass through the origin.

Front

How can you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equivalent or if they can be represented by a straight line through the origin on a graph.

Front

What is the unit rate of 75 miles in 3 hours?

Back

The unit rate is 75 ÷ 3 = 25 miles per hour.

Front

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.