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 quantity is constant.

Front

What is the equation of a proportional relationship?

Back

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

Front

How do you find the constant of proportionality in the equation y = ½x?

Back

The constant of proportionality is the coefficient of x, which is 1/2.

Front

If y = 15x, what does the number 15 represent?

Back

The number 15 represents the constant of proportionality, indicating that for every hour worked, $15 is earned.

Front

What does it mean if a graph does not represent a proportional relationship?

Back

It means that the relationship between the two variables does not maintain a constant ratio.

Front

How can you determine if two equations represent proportional relationships?

Back

You can determine if two equations represent proportional relationships by checking if they can be written in the form y = kx, where k is a constant.

Front

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

Back

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

Front

Write an equation for a proportional relationship where the constant of proportionality is 4.

Back

y = 4x.

Front

If the number of apples is represented by x and the number of trees by y, what is the equation if there are 13 apples per tree?

Back

y = 13x.

Front

What is the relationship between the weight of luggage and the number of bags if the equation is y = 40x?

Back

The weight of the luggage increases by 40 lbs for each additional bag.