Proportional or not-proportional? - Unit 2 Review

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate. For example, if y = kx, where k is a constant, then y is proportional to x.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. For example, y = mx + b (where b ≠ 0) represents a non-proportional relationship.

Front

What does the equation y = 19.25x represent?

Back

This equation represents a proportional relationship where y is directly proportional to x with a constant of proportionality of 19.25.

Front

How can you identify a proportional relationship from an equation?

Back

If the equation can be written in the form y = kx (where k is a constant), it is proportional. If there is an added constant (like y = mx + b with b ≠ 0), it is non-proportional.

Front

What is the constant of proportionality?

Back

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

Front

Is the equation y = 75x proportional or non-proportional?

Back

Proportional, because it can be expressed in the form y = kx with k = 75.

Front

What does it mean if a relationship is described as non-proportional?

Back

It means that the relationship does not maintain a constant ratio; for example, it may include a fixed amount added or subtracted.

Front

How do you determine if a table of values represents a proportional relationship?

Back

Check if the ratio of y to x is constant for all pairs of values in the table.

Front

What is an example of a non-proportional relationship in real life?

Back

A video game rental fee that charges a flat fee plus a daily rate, such as $15 plus $3 per day.

Front

What is the difference between direct variation and proportional relationships?

Back

Direct variation is a specific type of proportional relationship where the constant of proportionality is positive.