Constant of Proportionality

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 corresponding value of x for any pair of values. If the ratio is constant, the relationship is proportional.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a quantity per one unit of another quantity.

Front

If a car travels 120 miles in 2 hours, what is its constant rate of speed?

Back

60 miles per hour.

Front

What does it mean for a graph to be proportional?

Back

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

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

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

Back

The constant of proportionality is 3/2 or 1.5 cups of flour per cup of sugar.

Front

What is the constant of proportionality in the equation y = 4x?

Back

The constant of proportionality is 4.

Front

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

Back

A table represents a proportional relationship if the ratios of y to x are the same for all pairs of values.

Front

What is the unit rate if a person earns $45 for 5 hours of work?

Back

The unit rate is $9 per hour.