Is It Proportional?

Front

What does it mean for a relationship to be proportional?

Back

A proportional relationship means that two quantities maintain a constant ratio or rate. If one quantity increases, the other increases at the same rate.

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified if the ratio of y to x is constant for all pairs of values in the table.

Front

What is the definition of a non-proportional relationship?

Back

A non-proportional relationship occurs when the ratio between two quantities is not constant.

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 does a non-proportional graph look like?

Back

A non-proportional graph may be a straight line that does not pass through the origin or a curve.

Front

Which of the following represents a proportional relationship: 2/3, 3/5, or 4/6?

Back

2/3 and 4/6 are proportional because they can be simplified to the same ratio.

Front

If y = 2x, is this a proportional relationship?

Back

Yes, because the ratio of y to x is constant (y/x = 2).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio (k) in the equation y = kx.

Front

How do you determine if an equation represents a proportional relationship?

Back

An equation represents a proportional relationship if it can be written in the form y = kx, where k is a non-zero constant.

Front

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

Back

If a car travels 60 miles in 1 hour, it will travel 120 miles in 2 hours, maintaining a constant speed.