Constant of Proportionality Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, indicating how one quantity changes in relation to another.

Front

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

Back

A table represents a proportional relationship if the ratio of the two quantities is constant for all pairs of values.

Front

If a table shows values (3, 9), (6, 18), (9, 27), what is the constant of proportionality?

Back

k = 3, since 9/3 = 18/6 = 27/9 = 3.

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

Back

y = 4 * 5 = 20.

Front

What does a graph of a proportional relationship look like?

Back

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

Front

In the equation y = 2.5x, what is the constant of proportionality?

Back

The constant of proportionality is 2.5.

Front

If a recipe calls for 3 cups of flour for every 2 cups of sugar, what is the constant of proportionality?

Back

k = 3/2 or 1.5, meaning for every 1 cup of sugar, you need 1.5 cups of flour.

Front

What is the relationship between the constant of proportionality and unit rates?

Back

The constant of proportionality is equivalent to the unit rate, which describes how much of one quantity corresponds to one unit of another quantity.

Front

If a car travels 60 miles in 1 hour, what is the constant of proportionality in miles per hour?

Back

The constant of proportionality is 60 mph.