1. (10 points, 5 points each) Solve the following variation problems. (a) Suppose that y varies inversely as the cube of z, and that y = 0.005 when z = 10. What is y when z = 5? (b) Suppose that y is proportional to the 5th power of z, and that y = 96 when r = 2. What is y when I = 5? 2. (5 points) The variable a is proportional to the square of b and varies inversely as the square root of c. If a = 108 when b = 6 and c = 4, what is a when b = 4 and c = 9