Proportional vs Non-Proportional

Front

What is the definition of proportional relationships?

Back

Proportional relationships are those in which two quantities maintain a constant ratio or rate of change.

Front

What is the definition of non-proportional relationships?

Back

Non-proportional relationships do not maintain a constant ratio or rate of change between two quantities.

Front

Identify the rate of change (rise/run) for the points (2,4) and (4,8).

Back

2

Front

Identify the rate of change (rise/run) for the points (1,3) and (3,7).

Back

2

Front

What is the equation of a proportional relationship?

Back

y = kx, where k is the constant of proportionality.

Front

What does the constant of proportionality represent?

Back

It represents the ratio between two proportional quantities.

Front

Is the equation y = 3x + 2 proportional or non-proportional?

Back

Non-proportional, because of the +2.

Front

Is the equation y = 5x proportional or non-proportional?

Back

Proportional, because it can be expressed as y = kx.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, is this proportional?

Back

Yes, because the ratio of flour to sugar is constant.

Front

If a car travels 60 miles in 1 hour, how far will it travel in 3 hours?

Back

180 miles (60 miles/hour * 3 hours).