Additive & Multiplicative Relationships

Additive and Multiplicative Relationships

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Vocabulary

Independent Variable: a change in this variable changes the end result

Independent Variables are on the X-Axis

Dependent Variable: is affected by a change in the independent variable

Dependent Variables are on the Y-Axis

Multiple Choice

Jackie tested how the height of a ramp affected the distance a toy car travels. What is the INDEPENDENT VARIABLE?

• type of car

• distance the car travled

• material used in the ramp

• height of the ramp

Multiple Choice

Jackie tested how the height of a ramp affected the distance a toy car travels. What is the DEPENDENT VARIABLE?

• type of car

• distance the car travled

• material used in the ramp

• height of the ramp

Additive Relationship

• Does NOT go through origin (0,0)

• Values found by adding or subtracting

• 4 Ways to show:

• Equation; Table; Graph; Scenario

Multiplicative Relationship

• GOES through the origin (0,0)

• Values found by multiplying or dividing

• 4 Ways to show:

• Equation; Table; Graph; Scenario

Multiple Choice

Determine if the following is additive or multiplicative:

Cam is 4 inches taller than his friend.

• Additive Realtionshp

• Multiplicative Relationship

Multiple Choice

Determine if the following is additive or multiplicative:

The amusement park charges $25 per admission ticket.

• Additive Realtionshp

• Multiplicative Relationship

Multiple Choice

The following GRAPH describe what type of relationship? [IGONRE THE TABLE]

• Additive

• Quadratic

• Exponential

• Multiplicative

Multiple Choice

True or False: The graph depicted is a multiplicative relationship

• Yes, because it goes through the origin (0,0)

• Yes, because it does NOT go through the origin (0,0.

• No, because it goes through the origin (0,0)

• No, because it does NOT go through the origin (0,0)

Additive and Multiplicative Relationships

Let's Practice!

Multiple Choice

Is the following table representing a multiplicative or additive relationship?

• Multiplicative

• Additive

Multiple Choice

What is the rule for the table?

• y = 3x

• y = x + 3

• x = y + 3

• x = 3y

Multiple Choice

Is the following table representing an additive or multiplicative relationship?

• Additive

• Multiplicative

Multiple Choice

Since this is a multiplicative relationship, what is y when x is 7?

• 72

• 9

• 84

• 19

Multiple Choice

Which of the following relationships will ALWAYS go through the origin when graphed on a coordinate plane?

• Additive

• Multiplicative

Multiple Select

Check all of the following graphs that represent a multiplicative relationship.

Multiple Choice

What is the rule for the graph represented?

• y = x + 3

• y = 3x

• y = x + 1

• y = x

Multiple Choice

What is the rule for the following graph?

• y = x + 5

• y = 5x

• x = y + 5

• x = 5y

Multiple Choice

Which line is representing a multiplicative relationship?

• Graph R

• Graph S

Multiple Choice

At what point do both lines intersect?

• (2, 4)

• (4, 2)