SOLUTION: Pleas help me solve and understand the this problem: A biologist is studying a fish. she uses the fishes length in cm L to estimate the fishes age in years T according to the formu

Algebra ->  Functions -> SOLUTION: Pleas help me solve and understand the this problem: A biologist is studying a fish. she uses the fishes length in cm L to estimate the fishes age in years T according to the formu      Log On


   

Question 1082597: Pleas help me solve and understand the this problem: A biologist is studying a fish. she uses the fishes length in cm L to estimate the fishes age in years T according to the formula T=19-5ln(53-L)
a) estimate the age of a 35 cm fish
b) according to the formula what length should a 10yr old fish be.
pleas include steps when solving the problem.
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
T = 19 - 5ln(53-L)
:
a) T = 19 - 5ln(53-35)
:
T = 19 - 5ln(18)
:
T = 19 - 5 * 2.8904 = 4.548
:
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35 cm fish is approximately 4.5 years old
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b) 10 = 19 - 5ln(53-L)
:
5ln(53-L) = 19 - 10 = 9
:
ln(53-L) = 9/5 = 1.8
:
53-L = inverse log(base e) of 1.8 = 6.0496
:
L = 53 - 6.0496 = 46.9504 approximately 47
:
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A 10 year old fish should be 47 cm long
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