Age of haddock: The age T , in years, of a haddock can be thought of as a function of its length L, in centimeters. One common model uses the natural logarithm:
T = 19 − 5 ln (53 − L) .
a. Draw a graph of age versus length. Include lengths between 25 and 50 centimeters.
b. Express using functional notation the age of a haddock that is 35 centimeters long, and then calculate that value.
c. How long is a haddock that is 10 years old? 10. Growth rate: An animal grows according to the formula
L = 0.6 log (2 + 5T).
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