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 the letter 'k'.

Front

If y is directly proportional to x, how can we express this relationship?

Back

We can express this relationship as y = kx, where k is the constant of proportionality.

Front

What does it mean if two quantities are proportional?

Back

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

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 one quantity by the corresponding value of the other quantity.

Front

If a car travels 90 miles in 2 hours, what is the constant of proportionality (speed)?

Back

The constant of proportionality (speed) is 45 mph.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit.

Front

How do you calculate the unit rate from a total cost and quantity?

Back

To calculate the unit rate, divide the total cost by the quantity.

Front

If a recipe requires 3 cups of flour for 12 cookies, what is the constant of proportionality for flour per cookie?

Back

The constant of proportionality is 0.25 cups of flour per cookie.

Front

What is the formula to find the constant of proportionality when given a ratio?

Back

The formula is k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a person can type 408 words in 4 minutes, how many words can they type in 1 minute?

Back

They can type 102 words per minute.