the normal healing of wounds can be modeled by an exponential function. If Ao represents the original area of the wound and if A equals the area of the wound, then the function A(n)=Aoe^-0.35n describes the area of a wound after n days following an injury when no infection is present. Suppose that a wound initially had an area of 100 square millimeters.

A. if healing is taking place, after how many days will the wound be one-half its original size?
B. How long before the wound is 10% of its original size?
C.If healing is taking place, how large will the are of the wound be after 3 days?

Question

the normal healing of wounds can be modeled by an exponential function. If Ao represents the original area of the wound and if A equals the area of the wound, then the function A(n)=Aoe^-0.35n describes the area of a wound after n days following an injury when no infection is present. Suppose that a wound initially had an area of 100 square millimeters.

A. if healing is taking place, after how many days will the wound be one-half its original size?
B. How long before the wound is 10% of its original size?
C.If healing is taking place, how large will the are of the wound be after 3 days?

alekos · Answer

A.  1/2 = e^-.35n
Ln(1/2)=-.35n
-.6931=-.35n
n=.6931/.35
n=1.98 days