Additive Relationship

My Definition

Key Characteristics

The following are true of an additive relationship:

- Two quantities can be expressed as related to each other through addition.
- It can be written as
*y = x + a*, where*y*is related to*x*through the addition of a constant,*a*. The value for*a*may be positive or negative.

Example

Situation: John will always be four years older than Sue.

This table shows an additive relationship between *x* and *y*, represented with
*y* = *x* + 4.

Video Transcript (PDF)

Non-example

Situation: To recreate the recipe, the amount of sugar must always be 12 times the amount of salt. This is a multiplicative relationship. It can be written *y = ax*, where *y* is related to *x* through multiplication by a constant, *a*.

TEKS: 5(4)(C), 5(4)(D), 6(4)(A), 6(6)(C)