The direct variation means there is some value k such that

w = k(2x-1)

We are given

9 = k(2*2-1) = 3k

3 = k (after dividing both sides by 3)

For w = 15, we have

15 = 3(2x - 1) (fill in the known values)

5 = 2x - 1 (divide by 3)

6 = 2x (add 1)

3 = x (divide by 2)

w = k(2x-1)

We are given

9 = k(2*2-1) = 3k

3 = k (after dividing both sides by 3)

For w = 15, we have

15 = 3(2x - 1) (fill in the known values)

5 = 2x - 1 (divide by 3)

6 = 2x (add 1)

3 = x (divide by 2)