Constant of Proportionality (tables, graphs, word problems)

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant ratio between two quantities that are proportional to each other.

Front

How can you find the constant of proportionality in a table?

Back

You can find the constant of proportionality by dividing the y-value by the corresponding x-value for any pair of values in the table.

Front

What is the unit rate?

Back

The unit rate is the constant of proportionality expressed as a ratio of two quantities where the second quantity is 1.

Front

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

Back

The constant of proportionality is 1.5 cups of flour per cup of sugar.

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

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is when the relationship between x and y is not constant, such as y = 2x + 3.

Front

How do you determine if a relationship is proportional from a graph?

Back

A relationship is proportional if the line on the graph is straight and passes through the origin.

Front

What is the constant of proportionality if 30 miles are driven in 1 hour?

Back

The constant of proportionality is 30 miles per hour.

Front

If the constant of proportionality is 4, what does this mean in a real-world context?

Back

It means that for every unit increase in the independent variable, the dependent variable increases by 4 units.

Front

What is the constant of proportionality in the equation y = 5x?

Back

The constant of proportionality is 5.