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 is constant.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

Front

How can you tell 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.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

What does a constant unit rate indicate?

Back

A constant unit rate indicates that the relationship between the two quantities is proportional.

Front

If NewSounds produces 175 headphones per hour, what does this tell us about their production rate?

Back

This tells us that NewSounds has a constant production rate of 175 headphones per hour.

Front

How do you determine which company produces headphones at a faster rate?

Back

You compare the production rates of both companies; the one with the higher rate produces faster.

Front

What is the significance of the slope in a proportional relationship graph?

Back

The slope represents the constant of proportionality, indicating how much one quantity changes in relation to another.

Front

What does the equation y = 0.25x represent?

Back

This equation represents a proportional relationship where for every unit increase in x, y increases by 0.25.