Additive & Multiplicative Relationships

Front

What is an additive relationship?

Back

An additive relationship is when two quantities are combined by addition. For example, if you have 3 apples and you get 2 more, you have a total of 5 apples.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when two quantities are related by multiplication. For example, if you have 3 groups of 2 apples, you have a total of 6 apples (3 x 2 = 6).

Front

How do you identify an additive relationship in a graph?

Back

In a graph, an additive relationship shows a straight line with a constant slope, indicating that as one quantity increases, the other increases by a fixed amount.

Front

How do you identify a multiplicative relationship in a graph?

Back

In a graph, a multiplicative relationship shows a curve that passes through the origin, indicating that as one quantity increases, the other increases at a rate proportional to its value.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written in the form (x, y).

Front

What does it mean for a graph to intersect the origin?

Back

When a graph intersects the origin, it means that the point (0, 0) is on the graph, indicating that both quantities are zero at that point.

Front

How do you graph ordered pairs on a coordinate plane?

Back

To graph ordered pairs, you first locate the x-coordinate on the horizontal axis, then move vertically to the y-coordinate.

Front

What is the difference between positive and negative relationships in graphs?

Back

A positive relationship shows that as one quantity increases, the other also increases, while a negative relationship shows that as one quantity increases, the other decreases.

Front

What is the slope of a line in an additive relationship?

Back

The slope of a line in an additive relationship is constant, representing the fixed amount that one quantity increases for each unit increase in the other.

Front

What is the slope of a line in a multiplicative relationship?

Back

The slope of a line in a multiplicative relationship varies, as it represents a rate of change that is proportional to the value of the quantities.