Question

Variable g is 8 more than variable w. Variable g is also 4 less than w. Which pair of equations best models the relationship between g and w? A) g=w-8 , q=w+4 B) w=8g , w=g-4 C) g=w+8 , g=w+4 D) w=8g , w=g+4

Answer 1

Given:
Variable g is 8 more than variable w. ⇒ g = w + 8
Variable g is also 4 less than w ⇒ g = w - 4

g = w + 8 or w = g - 8
g = w - 4 or w = g + 4

Answer 2

`\Rightarrow g=w+8`

Or

`\Rightarrow w=g-8`

and

`\rightarrow g=w-4`

or

`\rightarrow w=g+4`

Explanation:

We are given that Variable g is 8 more than variable w.

`\Rightarrow g=w+8`

Or

`\Rightarrow w=g-8`

We are also given that

Variable g is also 4 less than w.

`\rightarrow g=w-4`

or

`\rightarrow w=g+4`

Hence pair of equations best models the relationship between g and w are:

`\Rightarrow g=w+8`

Or

`\Rightarrow w=g-8`

and

`\rightarrow g=w-4`

or

`\rightarrow w=g+4`