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

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if there are 30 laps in 10 minutes, the unit rate is 30 laps ÷ 10 minutes = 3 laps per minute.

Front

What does it mean if a table of values represents a proportional relationship?

Back

If a table of values represents a proportional relationship, the ratio of y to x is constant for all pairs of values.

Front

How can you determine if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin (0,0).

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be written as y = kx, where k is the constant of proportionality.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What is the unit rate if the rate is 45 miles for 3 hours?

Back

The unit rate is 15 miles per hour.

Front

If a relationship is not proportional, what can be said about the ratios of y to x?

Back

If a relationship is not proportional, the ratios of y to x are not constant.

Front

What is the unit rate for 60 apples for 4 baskets?

Back

The unit rate is 15 apples per basket.