Proportional Relationships- DO NOW!

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 must the graph of a proportional relationship look like?

Back

The graph of a proportional relationship must be a straight line.

Front

What does it mean for unit rates in a table to be the same?

Back

It means that for every increase in one quantity, the increase in the other quantity is consistent, resulting in a constant ratio.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is a constant.

Front

What is the significance of the origin in a proportional relationship?

Back

For a relationship to be proportional, the graphed line must pass through the origin (0,0).

Front

How can you identify a proportional relationship from a table?

Back

You can identify a proportional relationship from a table by checking if all the unit rates are the same.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

Front

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

Back

Yes, because it can be expressed in the form y = kx, where k = 3.

Front

What happens to the graph of a proportional relationship if the constant k is negative?

Back

The graph will still be a straight line, but it will slope downwards.

Front

Can a proportional relationship have a zero value?

Back

Yes, at the origin (0,0), both quantities can be zero.