Proportional vs. Non-Proportional

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 is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Front

How can you identify a proportional relationship in an equation?

Back

In an equation, a proportional relationship can be identified if it can be expressed in the form y = kx, where k is a constant.

Front

What does the equation y = 75x represent?

Back

The equation y = 75x represents a proportional relationship because it can be expressed in the form y = kx with k = 75.

Front

What is the significance of a proportional table?

Back

A proportional table shows pairs of values that maintain a constant ratio, indicating a proportional relationship.

Front

How can you determine if a table is proportional?

Back

To determine if a table is proportional, check if the ratios of corresponding values are constant.

Front

What is the relationship between x (dogs) and y (paws) in a proportional context?

Back

In a proportional context, if x represents the number of dogs, then y (the number of paws) is proportional to x, as each dog has 4 paws.

Front

What does a proportional graph look like?

Back

A proportional graph 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 factor (k) in the equation y = kx that relates the two quantities.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.