the better model? 6. Modeling the Species-Area Relation The table gives the areas of several caves in central Mexico and the number of bat species that live in each cave.* (a) Find a power function that models the data. (b) Draw a graph of the function you found in part (a) and a scatter plot of the data on the same graph. Does the model fit the data well? (c) The cave called El Sapo near Puebla, Mexico, has a surface area of A = 205 m². Use the model to estimate the number of bat species you would expect to find in that cave. The number of different bat species in a cave is related to the size of the cave by a power function. Number Cave Area (m2) of species La Escondida 18 1 El Escorpion El Tigre Mision Imposible San Martin 19 58 60 128 5 El Arenal 187 4 La Ciudad 344 6. Virgen 511 7
the better model? 6. Modeling the Species-Area Relation The table gives the areas of several caves in central Mexico and the number of bat species that live in each cave.* (a) Find a power function that models the data. (b) Draw a graph of the function you found in part (a) and a scatter plot of the data on the same graph. Does the model fit the data well? (c) The cave called El Sapo near Puebla, Mexico, has a surface area of A = 205 m². Use the model to estimate the number of bat species you would expect to find in that cave. The number of different bat species in a cave is related to the size of the cave by a power function. Number Cave Area (m2) of species La Escondida 18 1 El Escorpion El Tigre Mision Imposible San Martin 19 58 60 128 5 El Arenal 187 4 La Ciudad 344 6. Virgen 511 7
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:the better model?
6. Modeling the Species-Area Relation The table gives the areas of several caves in
central Mexico and the number of bat species that live in each cave.*
(a) Find a power function that models the data.
(b) Draw a graph of the function you found in part (a) and a scatter plot of the data on the
same graph. Does the model fit the data well?
(c) The cave called El Sapo near Puebla, Mexico, has a surface area of A = 205 m². Use
the model to estimate the number of bat species you would expect to find in that cave.
The number of different bat species
in a cave is related to the size
of the cave by a power function.
Number
Cave
Area (m2)
of species
La Escondida
18
1
El Escorpion
El Tigre
Mision Imposible
San Martin
19
58
60
128
5
El Arenal
187
4
La Ciudad
344
6.
Virgen
511
7
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