Suppose T varies directly as the 3/2 power of x. When x = 16, T= 80. Find T when x = 4
T = k x^1.5
80 = k (16)^(3/2) = k * 4^3 = k * 64
k = 80/64 = 1.25
so
T = 1.25 x^(3/2)
if x = 4
T = 1.25 * 4^(3/2)= 1.25 * 2^3 = 1.25 * 8 = 10
80 = k (16)^(3/2) = k * 4^3 = k * 64
k = 80/64 = 1.25
so
T = 1.25 x^(3/2)
if x = 4
T = 1.25 * 4^(3/2)= 1.25 * 2^3 = 1.25 * 8 = 10