The generation time for an organism is the time is takes to reach reproductive maturity. Biologists have observed that generation time depends on size, and in particular on the length of an organism. This table gives the length L measured in feet and the generation time T measured in years for various organisms. Generation Time T Organism Length L (feet) (years) House fly 0.023 0.055 (20 days) Cotton deermouse 0.295 0.192 (70 days) Tiger salamander 0.673 Beaver 2.23 2.8 Grizzly bear 5.91 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Find a model for the generation time of an organism as a power function of its length. Round regression parameters to 2 decimal places.
A nkcschools.instructure.com
(a) If one organism is twice as long as another, how is the generation time affected?
(Round your answer to 2 decimal places.)
When the length of the organism is doubled, the generation time increases by a factor
of
(b) A certain breed of dog grows to be 1.75 feet long. What does the model you found
in Question 10 suggest as the generation time for this dog? Round your answer to 2
decimal places and include an appropriate label.
Transcribed Image Text:A nkcschools.instructure.com (a) If one organism is twice as long as another, how is the generation time affected? (Round your answer to 2 decimal places.) When the length of the organism is doubled, the generation time increases by a factor of (b) A certain breed of dog grows to be 1.75 feet long. What does the model you found in Question 10 suggest as the generation time for this dog? Round your answer to 2 decimal places and include an appropriate label.
A nkcschools.instructure.com
The generation time for an organism is the time is takes to reach reproductive
maturity. Biologists have observed that generation time depends on size, and in
particular on the length of an organism. This table gives the length L measured in feet
and the generation time T measured in years for various organisms.
Generation Time T
Organism
Length L (feet)
(years)
House fly
0.023
0.055 (20 days)
Cotton deermouse
0.295
0.192 (70 days)
Tiger salamander
0.673
Beaver
2.23
2.8
Grizzly bear
5.91
4
Transcribed Image Text:A nkcschools.instructure.com The generation time for an organism is the time is takes to reach reproductive maturity. Biologists have observed that generation time depends on size, and in particular on the length of an organism. This table gives the length L measured in feet and the generation time T measured in years for various organisms. Generation Time T Organism Length L (feet) (years) House fly 0.023 0.055 (20 days) Cotton deermouse 0.295 0.192 (70 days) Tiger salamander 0.673 Beaver 2.23 2.8 Grizzly bear 5.91 4
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