Proportional Relationships Equations (HW #12)

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 the constant of proportionality?

Back

The constant of proportionality (k) is the constant value that relates two proportional quantities, often represented in the equation y = kx.

Front

How do you identify a proportional relationship from a table?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

What is the equation of a proportional relationship?

Back

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

Front

If d = 0.45p, is this a proportional relationship?

Back

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

Front

What does the graph of a proportional relationship look like?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

In the equation y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

How can you determine the constant of proportionality from a graph?

Back

You can determine it by finding the slope of the line, which represents the ratio of y to x.

Front

What is the significance of the point (1, k) in a proportional relationship?

Back

The point (1, k) indicates that when x = 1, y equals the constant of proportionality k.

Front

If a table shows (2, 6), (4, 12), and (6, 18), is this a proportional relationship?

Back

Yes, because the ratios (y/x) are constant (3 in this case).