1.7 Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented in the equation y = kx.

Front

In the equation y = ½x, what is the constant of proportionality?

Back

1/2

Front

How can you identify a proportional relationship from a graph?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What does a non-proportional graph look like?

Back

A non-proportional graph does not pass through the origin and may curve or have a different slope.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something.

Front

If a graph shows a unit rate of 50, what does that mean?

Back

It means that for every 1 unit of the independent variable, the dependent variable increases by 50 units.

Front

Is the graph of y = 2x proportional?

Back

Yes, because it is a straight line that passes through the origin.

Front

Is the graph of y = x + 3 proportional?

Back

No, because it does not pass through the origin.

Front

What is the relationship between the slope of a line and proportionality?

Back

In a proportional relationship, the slope of the line represents the constant of proportionality.