Additive and Multiplicative Relationship

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). For example, in the equation y = x + 4, 4 is added to each x.

Front

What is a Multiplicative Relationship?

Back

A Multiplicative Relationship is when each input (x-value) is multiplied by a constant to find the corresponding output (y-value). For example, in the equation y = 3x, each x is multiplied by 3.

Front

What does the equation y = x + 5 represent?

Back

This equation represents an Additive Relationship where 5 is added to each x-value to determine the y-value.

Front

What does the equation c = g + 5.75 represent in a real-world context?

Back

This equation represents the cost (c) of groceries (g) where a delivery charge of $5.75 is added to the total cost of groceries.

Front

How can you identify an Additive Relationship from a graph?

Back

An Additive Relationship in a graph will show a straight line with a constant slope, indicating that the y-value increases by a fixed amount as the x-value increases.

Front

What is the difference between Additive and Multiplicative Relationships?

Back

In Additive Relationships, a constant is added to each input, while in Multiplicative Relationships, each input is multiplied by a constant.

Front

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

Back

This is a Multiplicative Relationship because y is determined by multiplying x by 3.

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 = 3 in the equation y = 5x?

Back

When x = 3, y = 5 * 3 = 15.

Front

What does it mean if a table represents an Additive Relationship?

Back

It means that for each increase in x, the corresponding y-value increases by a constant amount.