Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two variables in a proportional relationship, often represented as 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 output value by the input value for any pair of corresponding values.

Front

What does it mean for two quantities to vary directly?

Back

Two quantities vary directly if they increase or decrease together at a constant rate.

Front

What is the formula for direct variation?

Back

The formula for direct variation is y = kx, where k is the constant of proportionality.

Front

How can you determine if a graph represents a proportional relationship?

Back

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

Front

If 3 oranges cost $12, what is the cost of 1 orange?

Back

The cost of 1 orange is $4.

Front

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

Front

What is the relationship between ratios in a proportion?

Back

In a proportion, the cross products of the ratios are equal.

Front

If a car travels 60 miles in 1 hour, how far will it travel in 3 hours?

Back

The car will travel 180 miles in 3 hours.