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, as shown in the following equation. T= 19 - 5 In(53 - L)...


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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, as shown in the following equation.<br>T= 19 - 5 In(53 - L)<br>(a) Draw a graph of age versus length. Include lengths between 25 and 50 centimeters.<br>25<br>12<br>20<br>10<br>T 15<br>10<br>30<br>35<br>45<br>50<br>30<br>35<br>40<br>45<br>50<br>L.<br>14<br>12<br>12<br>10<br>10<br>41<br>40<br>45<br>50<br>40<br>45<br>(b) Using functional notation, express the age of a haddock that is 32 centimeters long.<br>Calculate the age of a haddock that is 32 centimeters long. (Round your answer to two decimal places.)<br>yr<br>(c) How long is a haddock that is 8 years old? (Round your answer to two decimal places.)<br>

Extracted text: 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, as shown in the following equation. T= 19 - 5 In(53 - L) (a) Draw a graph of age versus length. Include lengths between 25 and 50 centimeters. 25 12 20 10 T 15 10 30 35 45 50 30 35 40 45 50 L. 14 12 12 10 10 41 40 45 50 40 45 (b) Using functional notation, express the age of a haddock that is 32 centimeters long. Calculate the age of a haddock that is 32 centimeters long. (Round your answer to two decimal places.) yr (c) How long is a haddock that is 8 years old? (Round your answer to two decimal places.)

Jun 04, 2022
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