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Additive vs. Multiplicative Relationships

Additive: y = a + x

Values in an additive relationship are found by ADDING

Your Turn...

Essential Question

Multiplicative: y = ax

Ky is seven years older than his sister Lu. Graph the relationship between Ky's age and Lu's age. Is the relationship additive or multiplicative? Explain.

Let's take a look at an example

Jolene is packing her lunch for school. The empty lunch box weighs 5oz. Graph the relationship between the weight of the items in Jolene's lunch and the total weight of the packed lunchbox.

How do I solve?

Step 3: graph the ordered pairs on a coordinate plane.

-How is the Language of

Mathematics communicated?

-How do Mathematical

representations help me understand

and describe relationships?

Step 1: make a table relating the weight of the items to the total weight.

to find the total weight, + the weight of the items to the weight of the lunch box.

Values in a Multiplicative Relationship are found by MULTIPLYING

How do I solve?

Using the formula above, fill in the following table.

Step 2: list the ordered pairs from the table.

Origin (0,0)

0

**Additive does NOT meet (0,0)**

5

The ordered pairs are: (0,5), (2,7), (3,8), (4,9), and (5,10)

Tip to remember: x always comes 1st!

Let's take a look at an example

Oskar sells bracelets for two dollars each and donates the money he collects to a charity. Graph the relationship between the number of bracelets sold and the total donation.

How do I solve?

Step 3: graph the ordered pairs on a coordinate plane.

Step 1: make a table to relate the cost of each bracelet to the # of bracelets sold

to find the total donations, * the # of bracelets sold by the donation per bracelet.

Using the formula above, fill in the following table.

How do I solve?

Origin (0,0)

Step 2: list the ordered pairs from the table.

**Multiplicative DOES meet (0,0)**

The ordered pairs are: (1,2), (2,4), (3,6), (4,8), and (5,10)

Tip to remember: x always comes 1st!

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