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 =
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
Section: Chapter Questions
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.)
Find an exponential function of the form S = abA to model the data. (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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