Proportional Relationships

Front

What is a proportional relationship?

Back

A relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1.

Front

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

Back

Divide one quantity by the other for any pair of corresponding values.

Front

What does the equation y = kx represent?

Back

It represents a proportional relationship where k is the constant of proportionality.

Front

If 30 laps are completed in 10 minutes, what is the unit rate?

Back

3 laps per minute.

Front

What is the constant of proportionality if k = 1?

Back

The two quantities are equal; for every unit of one quantity, there is one unit of the other.

Front

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

Back

k = 3.

Front

How do you convert a rate to a unit rate?

Back

Divide the total quantity by the total time or number of units.

Front

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

Back

80 miles per hour.

Front

If a table shows 45 miles in 1 hour, what is the constant of proportionality?

Back

45 miles per hour.