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?

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Mathematics

3 June, 03:46

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?

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Kara Warren · 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