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 5 ice cream bars cost $12.25, the unit rate is $12.25 ÷ 5 = $2.45 per ice cream bar.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio or rate. This means that as one quantity increases or decreases, the other does so in a consistent manner.

Front

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

Back

The constant of proportionality is 3.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are constant.

Front

If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

Back

The unit rate is 150 miles ÷ 3 hours = 50 miles per hour.

Front

What is the equation of a proportional relationship?

Back

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

Front

If the constant of proportionality is 4, what is the value of y when x = 5?

Back

y = 4 * 5 = 20.

Front

What is the graph of a proportional relationship like?

Back

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