Additive and Multiplicative Relationships

Front

What is an additive relationship?

Back

An additive relationship is when a constant value is added to each input (x-value) to find the corresponding output (y-value).

Front

What is the equation for an additive relationship?

Back

y = x + a

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when a constant value is multiplied by each input (x-value) to find the corresponding output (y-value).

Front

What is the equation for a multiplicative relationship?

Back

y = ax

Front

What is a ratio?

Back

A ratio is a comparison of two quantities.

Front

If y = 3x, what is the value of y when x = 4?

Back

y = 3 * 4 = 12

Front

If the equation is m = 8p, how many markers are in 5 packages?

Back

m = 8 * 5 = 40 markers.

Front

What does it mean if a relationship is linear?

Back

A linear relationship means that the change in y is proportional to the change in x, often represented by a straight line on a graph.

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

How do you identify an additive relationship from a table of values?

Back

If the difference between consecutive y-values is constant, it indicates an additive relationship.