Constant of Proportionality: Data Tables

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

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 y by the value of x for any pair of corresponding values.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship is typically written in the form 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 unit rate represent in a proportional relationship?

Back

A unit rate represents the amount of one quantity per one unit of another quantity, and it is equivalent to the constant of proportionality.

Front

If Nancy types 50 words per minute, how would you express this relationship in an equation?

Back

w = 50m, where w is the number of words and m is the number of minutes.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant.

Front

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

Back

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

Front

What is the unit rate if a car travels 150 miles in 3 hours?

Back

The unit rate is 50 miles per hour.

Front

If a table shows the values (2, 6), (4, 12), (6, 18), what is the constant of proportionality?

Back

The constant of proportionality is 3, since 6/2 = 12/4 = 18/6 = 3.