Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities. It is often represented by 'k' in the equation y = kx.

Front

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

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity. If the ratio is constant, the quantities are proportional.

Front

If a box of cereal costs $3.59 for 30 oz, what is the unit rate per ounce?

Back

The unit rate per ounce is 12 cents.

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship to each other.

Front

How can you express the constant of proportionality in an equation?

Back

The constant of proportionality can be expressed in the equation y = kx, where 'k' is the constant.

Front

If the constant of proportionality is 8, what does this imply about the relationship between the two quantities?

Back

It implies that for every unit increase in one quantity, the other quantity increases by 8 times that amount.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit.

Front

If Ben drinks 1/2 liter of tea every 2/3 of an hour, how much tea does he drink per hour?

Back

Ben drinks 3/4 of a liter per hour.

Front

What is the formula to calculate the unit rate?

Back

The formula to calculate the unit rate is: Unit Rate = Total Cost / Total Quantity.

Front

What does a constant of proportionality of k = 5 indicate?

Back

It indicates that for every unit increase in the independent variable, the dependent variable increases by 5 units.