Proportional VS Linear 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 is constant.

Front

What is a linear relationship?

Back

A linear relationship is a relationship that can be represented by a straight line on a graph, where the change in one variable is consistent with the change in another.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship will pass through the origin (0,0) and will have a constant slope.

Front

What is the ratio of cats to dogs if there are 20 cats and 25 dogs?

Back

4 to 5.

Front

What is the equation of a proportional relationship?

Back

y = kx, where k is the constant of proportionality.

Front

Is the cost of popcorn at $2.50 per bag a proportional relationship?

Back

Yes, it is proportional because the cost increases consistently with the number of bags.

Front

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

Back

A non-proportional relationship does not have a constant ratio between the two quantities and does not pass through the origin.

Front

Which of the following is an example of a proportional function: A rental company charges $80 per day and a one-time fee of $24, or Beverly earns $210 a week for 4 weeks?

Back

Beverly earns $210 a week for 4 weeks.

Front

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

Back

The slope is the constant ratio of the change in y to the change in x.

Front

If y = 19.25x, is this a proportional relationship?

Back

Yes, because it can be expressed in the form y = kx.