Representing 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

How do you find the constant of proportionality?

Back

To find the constant of proportionality, divide one quantity by the other quantity in a proportional relationship.

Front

If y is directly proportional to x, what is the equation that represents this relationship?

Back

y = kx, where k is the constant of proportionality.

Front

What does it mean if two quantities are in a proportional relationship?

Back

It means that as one quantity increases or decreases, the other quantity increases or decreases at a constant rate.

Front

How can you represent proportional relationships on a graph?

Back

Proportional relationships can be represented on a graph as a straight line that passes through the origin (0,0).

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit.

Front

If a car travels 60 miles in 1 hour, what is the unit rate?

Back

The unit rate is 60 miles per hour.

Front

How do you solve for a missing value in a proportional relationship?

Back

Set up a proportion and cross-multiply to find the missing value.

Front

What is the formula for finding the total distance traveled if speed and time are known?

Back

Distance = Speed × Time.

Front

If Jeremiah runs 90 feet in 2 seconds, how far will he run in 30 seconds?

Back

He will run 1350 feet.