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 determine if two rates are proportional?

Back

Two rates are proportional if they can be expressed as equivalent fractions.

Front

What is the formula for finding the unit rate?

Back

The unit rate can be found by dividing the quantity by the number of units, expressed as 'quantity per unit'.

Front

What does it mean for a graph to be proportional?

Back

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

Front

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

Back

The constant of proportionality can be found by dividing the dependent variable by the independent variable for any pair of values.

Front

What is the unit rate in the context of speed?

Back

The unit rate in the context of speed is the distance traveled per unit of time, typically expressed as miles per hour.

Front

If a car travels 240 miles in 4 hours, what is its speed?

Back

The speed is 60 miles per hour, calculated by dividing 240 miles by 4 hours.

Front

What is the significance of the point (0,0) in a proportional graph?

Back

The point (0,0) indicates that when there is no input (0 of the independent variable), the output (dependent variable) is also zero, confirming the proportional relationship.

Front

How do you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph by checking if the line is straight and passes through the origin.

Front

What is the relationship between the slopes of two proportional lines?

Back

The slopes of two proportional lines are equal, indicating they have the same constant of proportionality.