Proportional Relationships Review

Front

What is a direct variation equation?

Back

A direct variation equation is a linear equation of the form y = kx, where k is a non-zero constant. In this case, y varies directly with x.

Front

Is y = 2x - 4 a direct variation equation?

Back

No, because it does not fit the form y = kx.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship to each other.

Front

Is the relationship between y = 3x and y = 6x proportional?

Back

Yes, both equations represent direct variations with a constant ratio.

Front

What is the constant of proportionality in the equation y = 4x?

Back

The constant of proportionality is 4.

Front

If y varies directly with x and y = 18 when x = 3, what is the constant of proportionality?

Back

The constant of proportionality is 6 (since 18/3 = 6).

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.

Front

If a relationship is not proportional, what does that imply about the graph of the relationship?

Back

The graph will not be a straight line through the origin.

Front

What is an example of a proportional relationship?

Back

An example is the relationship between distance and time at a constant speed.

Front

If y = 2x + 3, is this a proportional relationship?

Back

No, because it does not pass through the origin.