+466 The number of greens varied directly as the square root of the number of reds and inversely as the number of whites squared. What happens to the number of greens if the number of reds is multiplied by 16 and the number of whites is doubled?
Let G = greens R = reds W = whites..................halp
+23246 Let k = proportionality factor.
G = k·sqrt(R) / W2
When the reds are multiplied by 16 and the number of whites is doubled:
G = k·sqrt(16·R) / (2·W)2
Simplifying:
G = k·4·sqrt(R) / (4·W2)
So: G = k·sqrt(R) / W2
The equation remains unchanged, since sqrt(16) = 4 and 2 squared = 4, and these 4s cancel.
+23246 Let k = proportionality factor.
G = k·sqrt(R) / W2
When the reds are multiplied by 16 and the number of whites is doubled:
G = k·sqrt(16·R) / (2·W)2
Simplifying:
G = k·4·sqrt(R) / (4·W2)
So: G = k·sqrt(R) / W2
The equation remains unchanged, since sqrt(16) = 4 and 2 squared = 4, and these 4s cancel.
