Unit Rate and Constant of Proportionality

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 many units of one quantity correspond to one unit of another quantity.

Front

How do you calculate the unit rate of speed?

Back

To calculate the unit rate of speed, divide the total distance traveled by the total time taken. For example, if a car travels 300 miles in 5 hours, the unit rate is 300 miles ÷ 5 hours = 60 miles per hour.

Front

What is the constant of proportionality?

Back

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

Front

In the equation y = 2x, what is the constant of proportionality?

Back

The constant of proportionality is 2.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if two quantities maintain a constant ratio or rate. This means that as one quantity increases or decreases, the other does so in a consistent manner.

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

Write the equation for a proportional relationship where the constant of proportionality is 9.

Back

Front

If y = 3x, what is the value of y when x = 4?

Back

When x = 4, y = 3 * 4 = 12.

Front

What is the formula to find the constant of proportionality from a proportional relationship?

Back

The constant of proportionality (k) can be found using the formula k = y/x, where y and x are the corresponding values of the two quantities.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the unit rate of flour to sugar?

Back

The unit rate of flour to sugar is 2/3 cups of flour per cup of sugar.