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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. T = 19 - 5*ln(53 - L) (a) Select the graph of age versus length. For the graph, include lengths between 25 and 50 cm (x-axis).         (b) Calculate the age of a haddock that is 27 centimeters long. _________ years old (c) How long is a haddock that is 10 years old?

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*ln(53 - L) (a) Select the graph of age versus length. For the graph, include lengths between 25 and 50 cm (x-axis).         (b) Calculate the age of a haddock that is 27 centimeters long. _________ years old (c) How long is a haddock that is 10 years old?

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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.

T = 19 - 5*ln(53 - L)
(a) Select the graph of age versus length. For the graph, include lengths between 25 and 50 cm (x-axis).
   
   

(b) Calculate the age of a haddock that is 27 centimeters long.
_________ years old
(c) How long is a haddock that is 10 years old?
_________ centimeters
This image consists of four different graphs, each depicting a plot of variable \( T \) against variable \( L \). ### Graph Descriptions: 1. **Top-Left Graph**: - This chart displays a curve beginning at \( T = 4 \) for \( L = 25 \) and rising sharply as \( L \) increases, reaching approximately \( T = 13 \) for \( L = 50 \). - The \( x \)-axis covers the range from 25 to 50. - The \( y \)-axis extends from 4 to 13. 2. **Top-Right Graph**: - This graph shows a similar curve starting at \( T = 1 \) for \( L = 25 \), increasing steadily, and reaching \( T = 7 \) for \( L = 50 \). - The \( x \)-axis ranges from 25 to 50. - The \( y \)-axis ranges from 0 to 7. 3. **Bottom-Left Graph**: - This diagram illustrates a curve starting at \( T = 14 \) for \( L = 25 \) and increases to approximately \( T = 24 \) for \( L = 50 \). - The \( x \)-axis ranges from 25 to 50. - The \( y \)-axis spans from 14 to around 24. 4. **Bottom-Right Graph**: - The chart presents a steeply curved plot starting at \( T = 10 \) for \( L = 25 \) and rapidly rising to \( T = 40 \) for \( L = 45 \). - The \( x \)-axis ranges from 25 to 50. - The \( y \)-axis ranges from 0 to 40. Each graph captures how variable \( T \) varies with \( L \) under different starting points and rates of increase, visualized as curves. Identifying the specifics of each function would require further context or mathematical details which are not present in the image.
Transcribed Image Text:This image consists of four different graphs, each depicting a plot of variable \( T \) against variable \( L \). ### Graph Descriptions: 1. **Top-Left Graph**: - This chart displays a curve beginning at \( T = 4 \) for \( L = 25 \) and rising sharply as \( L \) increases, reaching approximately \( T = 13 \) for \( L = 50 \). - The \( x \)-axis covers the range from 25 to 50. - The \( y \)-axis extends from 4 to 13. 2. **Top-Right Graph**: - This graph shows a similar curve starting at \( T = 1 \) for \( L = 25 \), increasing steadily, and reaching \( T = 7 \) for \( L = 50 \). - The \( x \)-axis ranges from 25 to 50. - The \( y \)-axis ranges from 0 to 7. 3. **Bottom-Left Graph**: - This diagram illustrates a curve starting at \( T = 14 \) for \( L = 25 \) and increases to approximately \( T = 24 \) for \( L = 50 \). - The \( x \)-axis ranges from 25 to 50. - The \( y \)-axis spans from 14 to around 24. 4. **Bottom-Right Graph**: - The chart presents a steeply curved plot starting at \( T = 10 \) for \( L = 25 \) and rapidly rising to \( T = 40 \) for \( L = 45 \). - The \( x \)-axis ranges from 25 to 50. - The \( y \)-axis ranges from 0 to 40. Each graph captures how variable \( T \) varies with \( L \) under different starting points and rates of increase, visualized as curves. Identifying the specifics of each function would require further context or mathematical details which are not present in the image.
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