Question

Variable g is 8 more than variable w. Variable g is also 2 less than w. Which of the following pairs of equations best models the relationship between g and w? (4 points)

A)g = 8w
g = w + 2

B)w = g + 8
w = g – 2

C)w = 8g
w = g + 2

D)g = w + 8
g = w – 2

Answer 1

The answer is c) g = w + 8
g = w - 2

Answer 2

D) g = w + 8 ; g = w – 2.

Explanation:

Given : Variable g is 8 more than variable w. Variable g is also 2 less than w.

To find : best models the relationship between g and w.

Solution: We have given that g is 8 more than variable w.

According to question .

First statement :

g = w + 8 ( positive sign for more than)

Second statement :

g = w - 2 ( negative sign for less than )

Therefore, D) g = w + 8 ; g = w – 2.