Additive and Multiplicative Relationship

Front

What is an additive relationship?

Back

An additive relationship is when a constant value is added to a variable. For example, if y = x + 4, for every increase in x, y increases by 4.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when a variable is multiplied by a constant. For example, if y = 3x, for every increase in x, y increases by a factor of 3.

Front

Identify the equation for an additive relationship.

Back

y = x + 5 is an example of an additive relationship.

Front

Identify the equation for a multiplicative relationship.

Back

y = 5x is an example of a multiplicative relationship.

Front

What does the equation y = x + 4 represent?

Back

It represents an additive relationship where y increases by 4 for every increase in x.

Front

What does the equation y = 3x represent?

Back

It represents a multiplicative relationship where y is three times the value of x.

Front

How can you tell if a relationship is additive or multiplicative?

Back

If the relationship involves adding a constant to a variable, it is additive. If it involves multiplying a variable by a constant, it is multiplicative.

Front

What is the output when x = 2 in the equation y = x + 4?

Back

When x = 2, y = 2 + 4 = 6.

Front

What is the output when x = 2 in the equation y = 3x?

Back

When x = 2, y = 3 * 2 = 6.

Front

If y = x + 5, what is y when x = 10?

Back

When x = 10, y = 10 + 5 = 15.