The size of a wound after t days of healing is modeled by W

The size of a wound after t days of healing is modeled by W = W_0 e^-0.25t, where W_0 is the initial size of the wound, in square millimeters. If the size of a wound is initially 25 square millimeters, how large is the wound after 2 days, and after 4 days?

Solution

Solution:

W = W_oe^-0.25t

Given Initial wound size W_o= 25 sqmm

Wound size after 2 days

W = W_o e^-0.25t

Plug = 2 days

W = 25 e^-0.25*2

W = 15.163 Sqmm

wound size after 2 days 15.163 Sqmm

After 4 days

Plug t = 4

W = 25 e^-0.25*4

W = 9.197 Sqmm

Wound size after 4 days = 9.197 Sqmm

Answer