Proportional Tables and Graphs

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

How can you identify a proportional relationship in a table?

Back

You can identify a proportional relationship in a table by dividing y by x and checking if the result is the same for all pairs.

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 a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio of one quantity to another is not constant.

Front

How can you tell if a graph is non-proportional?

Back

A graph is non-proportional if it does not pass through the origin or if it is not a straight line.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where k is the constant.

Front

If y = 3x, is this a proportional relationship?

Back

Yes, because the ratio of y to x is constant (3).

Front

What is the total cost of tickets if there are 7 adults and each ticket costs $75?

Back

The total cost is $525 (7 adults x $75 per ticket).

Front

What does it mean if a table shows a constant ratio?

Back

It means that the relationship between the two quantities is proportional.

Front

How do you graph a proportional relationship?

Back

To graph a proportional relationship, plot points that represent the pairs of values and draw a straight line through the origin.