To test for the biodiversity of trees in a tropical rain forest, biologists collected data in the Pasoh Forest Reserve of Malaysia. The table below shows the number of tree species S found for a given area A in the rain forest.† Tree species of the Pasoh Forest of Malaysia Area (m2) Observed number of species 3.81     3                     7.63     3                     15.26     12                     30.52     13                     61.04     31                     122.07     70                     244.14     112                     488.28     134                     976.56     236                     (a) Use a graphing calculator to find a power function of the form S = aAb that models the number of tree species S that are in an area of size A. (Round all values to three decimal places.) S  =          Find an exponential function of the form S = abA to model the data. (Round all values to three decimal places.) S  =

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter7: Percents
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Problem 4CST
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To test for the biodiversity of trees in a tropical rain forest, biologists collected data in the Pasoh Forest Reserve of Malaysia. The table below shows the number of tree species S found for a given area A in the rain forest.†

Tree species of the Pasoh Forest of Malaysia
Area (m2) Observed number of species
3.81     3                    
7.63     3                    
15.26     12                    
30.52     13                    
61.04     31                    
122.07     70                    
244.14     112                    
488.28     134                    
976.56     236                    
(a) Use a graphing calculator to find a power function of the form S = aAb that models the number of tree species S that are in an area of size A. (Round all values to three decimal places.)
S  = 
 
 
 
 


Find an exponential function of the form S = abA to model the data. (Round all values to three decimal places.)
S  = 
 
 
 
 
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