Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented by 'k'.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio between the two quantities remains 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 y = 8x, what is the constant of proportionality?

Back

The constant of proportionality is 8.

Front

What does a proportional graph look like?

Back

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

Front

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

Back

y = 3 * 4 = 12.

Front

What is the constant of proportionality in the table: (1, 3), (2, 6), (3, 9)?

Back

The constant of proportionality is 3.

Front

Is the relationship between x and y in the table (1, 2), (2, 5), (3, 8) proportional?

Back

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

Front

What is the value of k in the proportional relationship y = 60x?

Back

k = 60.

Front

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

Back

You can find it by determining the slope of the line, which represents the constant ratio.