Constant of Proportionality (Tables)

Front

What is the constant of proportionality?

Back

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

Front

Identify the constant of proportionality in the equation y = 3x.

Back

The constant of proportionality is 3.

Front

What is the constant of proportionality for the table showing the relationship between hours worked and money earned: (1 hour, $9), (2 hours, $18), (3 hours, $27)?

Back

The constant of proportionality is $9 per hour.

Front

What does it mean if a table is not proportional?

Back

A table is not proportional if the ratio of the two quantities is not constant.

Front

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

Back

y = 2x represents a proportional relationship.

Front

If the constant of proportionality is 4, what is the value of y when x = 5?

Back

y = 4 * 5 = 20.

Front

What is the constant of proportionality for the equation y = 1/2 x?

Back

The constant of proportionality is 1/2.

Front

How can you determine if a table of values is proportional?

Back

A table of values is proportional if the ratio of y to x is the same for all pairs of values.

Front

What is the constant of proportionality for the table: (2, 6), (4, 12), (6, 18)?

Back

The constant of proportionality is 3.

Front

If a table shows (1, 2), (2, 5), (3, 8), is it proportional?

Back

No, it is not proportional because the ratios are not constant.