MA7 Constant of Proportionality Practice

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

How do you identify a proportional relationship in a graph?

Back

A proportional relationship in a graph is identified by a straight line that passes through the origin (0,0).

Front

What does it mean if the constant of proportionality is m = 45?

Back

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

Front

If a recipe calls for 3/4 cup of brown sugar for every 3 eggs, what is the unit rate of eggs per cup?

Back

The unit rate is 4 eggs per cup.

Front

How do you express a proportional relationship mathematically?

Back

A proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

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.

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 does a straight line through the origin indicate in a graph?

Back

It indicates a proportional relationship between the two variables.

Front

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

Back

Divide the y-value by the corresponding x-value for any pair of values; the result will be the constant of proportionality.

Front

What is the significance of the slope in a proportional relationship?

Back

The slope represents the constant of proportionality, indicating how much y changes for a unit change in x.