A painter mixes cans of green and white paint to make the shade needed for painting a bedroom. The table shows the ratios he can use for the color he wants.

green cans(g) 6 10 16 18
White cans (w) 9 15 24 27
which is a direct variation equation for this relationship?
A. g=2/3w
B. w=2/3g
C. g=3/2w
D. g=3/5w

6 answers

Yes, A.

I think it's A

Thank Ms. Sue

Simplify 6/9.

Thanks*

To determine the direct variation equation for the relationship between the number of green cans (g) and white cans (w) the painter can use, we need to examine the given ratios.

Let's see if there is a constant ratio between green cans and white cans in each case:

Ratio 1: 6g/9w = 2/3
Ratio 2: 10g/15w = 2/3
Ratio 3: 16g/24w = 2/3
Ratio 4: 18g/27w = 2/3

We can observe that in each case the ratio is always 2/3.

So, the direct variation equation for this relationship is:

w = (2/3)g

Therefore, the answer is B. w = 2/3g.