Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, defined as k = y/x.

Front

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

Back

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

Front

What does it mean if a relationship is proportional?

Back

A relationship is proportional if one quantity is a constant multiple of another, meaning they increase or decrease at the same rate.

Front

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

Back

The constant of proportionality is 3.

Front

Is the equation y = 4x a proportional relationship?

Back

Yes, it is a proportional relationship with a constant of proportionality of 4.

Front

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

Back

The constant of proportionality is 2.

Front

If a table shows the pairs (1, 3), (2, 6), (3, 9), is it proportional?

Back

Yes, the constant of proportionality is 3.

Front

What is the constant of proportionality for the equation y = 5/2x?

Back

The constant of proportionality is 5/2.

Front

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

Back

The constant of proportionality can be found by determining the slope of the line that passes through the origin.

Front

If a table has values (1, 2), (2, 5), (3, 7), is it proportional?

Back

No, the ratios are not constant.