Recognising and representing proportional relationships between quantities

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two quantities that are directly proportional to each other. It is often represented by 'k' in the equation y = kx.

Front

If the constant of proportionality is 0.33, what does this mean in terms of dollars per load?

Back

It means that for every load, it costs $0.33.

Front

What is the equation for a proportional relationship if the constant of proportionality is 3?

Back

The equation is y = 3x.

Front

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

Back

Divide the value of y by the value of x for any pair of corresponding values.

Front

If the constant of proportionality is 1/2, what does this represent?

Back

This represents that for every 1 unit of x, y will be 0.5 units.

Front

What is the relationship between proportionality and linear equations?

Back

Proportional relationships can be represented by linear equations of the form y = kx, where k is the constant of proportionality.

Front

If a recipe requires 0.75 gallons of water for every minute of cooking, what is the constant of proportionality?

Back

The constant of proportionality is 0.75 gallons per minute.

Front

What does it mean if two quantities are proportional?

Back

It means that as one quantity increases or decreases, the other quantity changes at a constant rate.

Front

How can you represent a proportional relationship graphically?

Back

A proportional relationship can be represented by a straight line that passes through the origin (0,0) on a graph.

Front

If y = 1/3x, what is the constant of proportionality?

Back

The constant of proportionality is 1/3.