Additive and Multiplicative Relationships

Front

What is an additive relationship?

Back

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

Front

What is a multiplicative relationship?

Back

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

Front

How can you identify an additive relationship in a graph?

Back

In a graph showing an additive relationship, the points will form a straight line with a consistent slope, indicating that the same value is added for each step in the x-direction.

Front

How can you identify a multiplicative relationship in a graph?

Back

In a graph showing a multiplicative relationship, the points will curve upwards or downwards, indicating that the output increases or decreases exponentially as the input increases.

Front

If you add 5 to each x-value, what type of relationship is this?

Back

Additive Relationship.

Front

If you multiply each x-value by 3, what type of relationship is this?

Back

Multiplicative Relationship.

Front

What does it mean if a graph has no relationship?

Back

It means that there is no consistent pattern between the x-values and y-values; they do not correlate.

Front

What is the formula for an additive relationship?

Back

y = mx + b, where m is the constant added and b is the y-intercept.

Front

What is the formula for a multiplicative relationship?

Back

y = kx, where k is the constant factor by which x is multiplied.

Front

Give an example of an additive relationship using numbers.

Back

If x = 1, 2, 3, and y = 3, 5, 7, then y = x + 2 (add 2 to each x).