In a study of a marine tubeworm, scientists developed a model for the time T (measured in years) required for the tubeworm to reach a length of L meters. On the basis of their model, they estimate that 170 to 250 years are required for the organism to reach a length of 2 meters, making this tubeworm the longest-lived noncolonial marine invertebrate known. The model is given below. T =  20ebL − 28 b  Here b is a positive constant that requires estimation. What is the value of b if an estimate of 175 years to reach a length of 2 meters is correct? (Round your answer to two decimal places.) b =   What is the value of b if an estimate of 230 years to reach a length of 2 meters is correct? (Round your answer to two decimal places.) b =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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In a study of a marine tubeworm, scientists developed a model for the time T (measured in years) required for the tubeworm to reach a length of L meters. On the basis of their model, they estimate that 170 to 250 years are required for the organism to reach a length of 2 meters, making this tubeworm the longest-lived noncolonial marine invertebrate known. The model is given below.

T = 
20ebL − 28
b
 

Here b is a positive constant that requires estimation. What is the value of b if an estimate of 175 years to reach a length of 2 meters is correct? (Round your answer to two decimal places.)

b =  



What is the value of b if an estimate of 230 years to reach a length of 2 meters is correct? (Round your answer to two decimal places.)

b = 
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