Question

The area of a wound decreases exponentially with time. the area a of a wound after t days can be modeled by a = a0eº0.05t where a0 is the initial wound area. if the initial wound area is 4 square centimeters, how much of the wound area is present after 14 days?

Answer 1

First we rewrite the function:
 a = (a0) * exp (-0.05 * t)
 We have the following values:
 a0 = 4cm ^ 2
 t = 14 days
 Substituting the values we have:
 a = (4) * exp (-0.05 * 14)
 a = 1.99 cm ^ 2
 answer:
 the wound area after 14 days is
 a = 1.99 cm ^ 2