Additive and Multiplicative Relationships

Front

What is an additive relationship?

Back

An additive relationship is when you add or subtract a constant value to a variable to find another variable.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when you multiply a variable by a constant to find another variable.

Front

In a graph, what does a straight line indicate about the relationship?

Back

A straight line indicates a consistent relationship, which can be either additive or multiplicative depending on the slope.

Front

If y = 3x + 2, what type of relationship is this?

Back

This is an additive relationship because it involves adding a constant (2) to a multiple of x.

Front

If y = 5x, what type of relationship is this?

Back

This is a multiplicative relationship because y is a multiple of x.

Front

What does it mean if a graph has a slope of 0?

Back

A slope of 0 indicates that there is no change in y as x changes, representing a constant value (additive relationship).

Front

How can you identify a multiplicative relationship in a table of values?

Back

If the ratio of y to x is constant for all pairs of values, it indicates a multiplicative relationship.

Front

What is the formula for an additive relationship?

Back

The formula is y = mx + b, where b is the constant added.

Front

What is the formula for a multiplicative relationship?

Back

The formula is y = kx, where k is the constant multiplier.

Front

If you double the value of x in a multiplicative relationship, what happens to y?

Back

y also doubles, as it is directly proportional to x.