Practice: Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two quantities that are directly proportional to each other. It is often represented as 'k' in the equation y = kx.

Front

If the constant of proportionality is 0.3, 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 0.3 times that unit.

Front

How do you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality, divide the value of the dependent variable by the value of the independent variable for any pair of corresponding values.

Front

If Gianna sells t-shirts and the constant of proportionality is 0.3, how much would 10 shirts weigh?

Back

10 shirts would weigh 3 pounds (0.3 * 10 = 3).

Front

What is the equation of a line that has a constant of proportionality of 2/3?

Back

Front

If a customer orders 42 shirts and the constant of proportionality is 0.3, how much would the order weigh?

Back

The order would weigh 12.6 pounds (0.3 * 42 = 12.6).

Front

What does it mean if two tables have the same constant of proportionality?

Back

It means that the relationship between the independent and dependent variables is the same in both tables.

Front

How can you determine if an equation has a constant of proportionality equivalent to a graph?

Back

You can determine this by checking if the slope of the line represented by the equation matches the slope of the line in the graph.

Front

If an order weighs 10.5 lbs and the constant of proportionality is 0.3, how many shirts were ordered?

Back

35 shirts were ordered (10.5 / 0.3 = 35).

Front

What is a proportional relationship?

Back

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