Representing Proportional 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

How can you identify a proportional relationship from a table?

Back

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

Front

What is the constant of proportionality?

Back

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

Front

Write the equation for a proportional relationship where the constant of proportionality is 5.

Back

y = 5x

Front

Which of the following equations represents a proportional relationship? y = 3x + 2 or y = 3x?

Back

y = 3x represents a proportional relationship.

Front

If y = 4x, what is the value of y when x = 3?

Back

y = 12 when x = 3.

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.

Front

Is the equation y = 2x - 1 proportional?

Back

No, because it does not pass through the origin.

Front

If the table shows (1, 2), (2, 4), (3, 6), is this a proportional relationship?

Back

Yes, because the ratio of y to x is constant (2:1).

Front

What is the equation for the proportional relationship represented by the points (1, 3), (2, 6), (3, 9)?

Back

y = 3x