A certain number changes from 200 to 900 within three hours find the vaulue of k using the formula n times e raised to k times t

900 = 200 e^(kt)

Assume t is measured in hours. Then
900 = 200 e^(3k)
ln (9/2) = 1.504 = 3k
k = 0.501 h^-1 (0.501 per hour)