Step-by-step explanation:
1. y = kx (equation for direct variation)
54 = 9k thus the constant of var. k = 6 (green)
2. v = ks² (another direct variation)
48 = 4²k, 48 = 16k thus constant k = 3 (yellow)
3. a = k/x (this time, it is an inverse variation)
8 = k/9 thus the constant of var. k = 72 (orange)
4. y = kxz (two direct variations in one problem)
12 = (5)(2)k, 12 = 10k thus constant k = 6/5 (blue)
5. z = kx/y (direct and inverse at the same time)
60 = 4k/16, 960 = 4k thus the value of k = 240 (red)
That's all. Hope you get a perfect score.
