Constant of Proportionality (Tables & Graphs)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities. It can be found by dividing one quantity by the other.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity for any pair of values.

Front

What does a proportional relationship look like on a graph?

Back

A proportional relationship on a graph is represented by a straight line that passes through the origin (0,0).

Front

If y = kx, what does k represent?

Back

In the equation y = kx, k represents the constant of proportionality.

Front

What is the constant of proportionality if x = 3 and y = 12?

Back

The constant of proportionality k is 4, since 12 divided by 3 equals 4.

Front

Is the relationship between x and y proportional if x = 2 and y = 6, and x = 4 and y = 12?

Back

Yes, the relationship is proportional because the ratio y/x is constant (3 in both cases).

Front

What is the constant of proportionality for the table: (1, 2), (2, 4), (3, 6)?

Back

The constant of proportionality is 2, since y = 2x.

Front

How can you tell if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of y to x are constant for all pairs of values.

Front

What is the constant of proportionality for the equation y = 5x?

Back

The constant of proportionality is 5.

Front

If a graph does not pass through the origin, is it proportional?

Back

No, if a graph does not pass through the origin, it does not represent a proportional relationship.