Additive vs. Multiplicative

Front

What is the difference between additive and multiplicative relationships?

Back

Additive relationships involve adding a constant to a variable (y = x + a), while multiplicative relationships involve multiplying a variable by a constant (y = kx).

Front

How can you identify an additive relationship in a graph?

Back

An additive relationship is identified by a straight line that does not pass through the origin, indicating a constant addition to the variable.

Front

What is the general form of an equation representing an additive relationship?

Back

The general form is y = x + a, where 'a' is a constant.

Front

What is the general form of an equation representing a multiplicative relationship?

Back

The general form is y = kx, where 'k' is a constant.

Front

How can you identify a multiplicative relationship in a graph?

Back

A multiplicative relationship is identified by a straight line that passes through the origin, indicating a constant ratio.

Front

What does it mean if a graph crosses through the origin?

Back

If a graph crosses through the origin, it indicates a multiplicative relationship, where the output is directly proportional to the input.

Front

What type of relationship is represented by the equation 2(x) = y?

Back

This equation represents a multiplicative relationship because it can be rewritten as y = 2x.

Front

In an additive relationship, what happens to the output if the input increases by 1?

Back

In an additive relationship, the output increases by a constant amount 'a' regardless of the input.

Front

In a multiplicative relationship, what happens to the output if the input doubles?

Back

In a multiplicative relationship, the output also doubles if the input doubles, as it is directly proportional.

Front

What is a real-world example of an additive relationship?

Back

A real-world example of an additive relationship is calculating total cost by adding a fixed shipping fee to the price of items.