SOLUTION: Let's imagine that in 2001, a surgeon performs the first brain transplant, the only transplant performed that year. If in 2010, there are 983 brain transplants, find an exponential

Question 237220: Let's imagine that in 2001, a surgeon performs the first brain transplant, the only transplant performed that year. If in 2010, there are 983 brain transplants, find an exponential growth function that fits the data. (Round decimals to three places.)
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Let's imagine that in 2001, a surgeon performs the first brain transplant, the only transplant performed that year. If in 2010, there are 983 brain transplants, find an exponential growth function that fits the data. (Round decimals to three places.)
.
Apply to exponential growth-decline model:
A(t) = Pe^(rt)
where
A(t) is amount after t time
P is the initial amount
r is the rate of growth/decline
t is time
.
Your problem gives you:
A(t) is 983
P is 1
r is what you're looking for
t is 2010-2001 = 9
.
A(t) = Pe^(rt)
983 = 1e^(9r)
983 = e^(9r)
ln(983) = 9r
ln(983)/9 = r
0.766 = r
.
Your "exponential growth function" is:
A(t) = e^(0.766t)

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