Unit Rates/Constant of Proportionality

Front

What is a unit rate?

Back

A unit rate is a ratio in fraction form that has a denominator of 1.

Front

What does it mean if a graph is proportional?

Back

A graph is proportional if it represents a constant ratio between two quantities, meaning it passes through the origin and forms a straight line.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units to find out how much of one unit corresponds to the quantity.

Front

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

Back

3/4 of a liter per hour.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

What does a non-proportional graph look like?

Back

A non-proportional graph does not pass through the origin and does not maintain a constant ratio between the two variables.

Front

Write the equation for the table given: (x: 1, 2, 3; y: 3, 6, 9)

Back

y = 3x.

Front

What is the relationship between unit rates and proportional relationships?

Back

Unit rates are used to express proportional relationships, as they show how one quantity relates to one unit of another quantity.

Front

If a graph shows a constant increase but does not pass through the origin, is it proportional?

Back

No, it is non-proportional.

Front

What is the formula to find the constant of proportionality from a table?

Back

k = y/x, where k is the constant of proportionality.