1) The value of y is inversely proportional to z3 and directly proportional to 2x when x = 6, y = 8, and z = 2.
(a) Express y as a function of x and z.
(b) Use your function to find x when y = 9 and z = 1.
1)
(a)
y = k * 2x / z^3
So
8 = k * 2(6) / 2^3
8 = k * 12 / 8
8 = k * 3 / 2
(2/3)*8 = k
16/3 = k
(b)
So when y = 9 and z = 1 we have that
9 = (16/3) * 2x / 1^3
9 = (32/3)x
9 (3/32) = x
27 /32 = x
