Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It shows how one quantity changes in relation to another.

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, identify two points (x, y) on the line and use the formula k = y/x.

Front

If a graph shows that y = 40 when x = 1, what is the constant of proportionality?

Back

The constant of proportionality is 40.

Front

What does a constant of proportionality of k = 45 mean in a real-world context?

Back

It means that for every 1 hour, the quantity increases by 45 units.

Front

If a submarine dives 300 feet every 2 minutes, what is the constant rate of diving in feet per minute?

Back

150 feet per minute.

Front

Mason ran 3 miles in 20 minutes. What is his speed in miles per hour?

Back

9 miles per hour.

Front

If the constant of proportionality is 21, what is the relationship between x and y if x = 6?

Back

y = 21 * 6 = 126.

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 1 unit of another quantity.

Front

How do you convert a rate to a unit rate?

Back

To convert a rate to a unit rate, divide both quantities by the same number to find the value for one unit.

Front

If a car travels 120 miles in 2 hours, what is the constant of proportionality?

Back

The constant of proportionality is 60 miles per hour.