11/21 - Proportional Relationships Practice

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 can you identify if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

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

Front

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

Back

The constant of proportionality is 3.

Front

What does the unit rate represent in a proportional relationship?

Back

The unit rate represents the amount of one quantity for every one unit of another quantity.

Front

If a car travels 120 miles in 2 hours, what is the unit rate?

Back

The unit rate is 60 miles per hour.

Front

What is the formula to find the unit rate?

Back

The formula to find the unit rate is: Unit Rate = Total Quantity / Total Time.

Front

How do you convert a fraction to a unit rate?

Back

To convert a fraction to a unit rate, divide the numerator by the denominator to find the value per one unit.

Front

If Daniel walked 2/5 mile in 1/4 hour, how do you calculate his speed in miles per hour?

Back

Speed = Distance / Time = (2/5) / (1/4) = 1.6 miles per hour.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) signifies that when one quantity is zero, the other quantity is also zero, indicating a direct relationship.