Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as k in the equation y = kx.

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 a box of cereal costs $3.59 for 30 oz, the unit rate is $3.59 ÷ 30 oz = 12 cents per ounce.

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

What does a proportional graph look like?

Back

A proportional graph is a straight line that passes through the origin (0,0). The slope of the line represents the constant of proportionality.

Front

How can you determine if a table of values is proportional?

Back

A table of values is proportional if the ratios of corresponding values are constant.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the cost of apples: if 1 apple costs $1, then 2 apples cost $2, 3 apples cost $3, and so on.

Front

What is the unit rate of 500 miles in 8 hours?

Back

The unit rate is 500 miles ÷ 8 hours = 62.5 miles per hour.

Front

If y = 4x, what is the constant of proportionality?

Back

The constant of proportionality is 4.

Front

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship does not have a constant ratio between the quantities, meaning the graph does not pass through the origin.

Front

How do you identify the constant of proportionality from a graph?

Back

The constant of proportionality can be identified as the slope of the line on the graph.