Comparing 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

Define unit rate.

Back

The unit rate is the ratio of two measurements in which the second measurement is 1. For example, if a car travels 60 miles in 1 hour, the unit rate is 60 miles per hour.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a proportional relationship where k is the constant of proportionality.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality, divide the value of y by the value of x for any pair of corresponding values in the table.

Front

What is the constant of proportionality if y = 9x?

Back

The constant of proportionality is 9.

Front

If Tony walks 108 meters in 1 minute, what is his unit rate?

Back

Tony's unit rate is 108 meters per minute.

Front

If Mark's equation is y = 110x, what is his unit rate?

Back

Mark's unit rate is 110 meters per minute.

Front

How can you compare two proportional relationships?

Back

You can compare two proportional relationships by examining their unit rates or their equations.

Front

What does it mean if two proportional relationships have the same constant of proportionality?

Back

If two proportional relationships have the same constant of proportionality, they represent the same rate of change and will produce equivalent ratios.

Front

What is the unit rate for 80 miles in 1 hour?

Back

The unit rate is 80 miles per hour.