The total number P of prey taken by a predator depends on the availability of prey. C. S. Holling proposed a function of the form P = cn/(1+ dn) to model the number of prey taken in certain situations. Here n is the density of prey available, and c and d are constants that depend on the organisms involved as well as on other environmental features. Holling took data gathered earlier by T. Burnett on the number of sawfly cocoons found by a small wasp parasite at given host density. In one such experiment conducted, Holling found the relationship 21.96 1+2.41n where P is the number of cocoons parasitized and n is the density of cocoons available (measured as number per square inch). (a) Draw a graph of P versus n. Include values of n up to 2 cocoons per square inch. P 15 10 15 10 5 0.5 1.0 1.5 2.0 n P 15 10 15 10 0.5 MacBook Air 1.0 1.5 WebAssign Plot 2.0 n
The total number P of prey taken by a predator depends on the availability of prey. C. S. Holling proposed a function of the form P = cn/(1+ dn) to model the number of prey taken in certain situations. Here n is the density of prey available, and c and d are constants that depend on the organisms involved as well as on other environmental features. Holling took data gathered earlier by T. Burnett on the number of sawfly cocoons found by a small wasp parasite at given host density. In one such experiment conducted, Holling found the relationship 21.96 1+2.41n where P is the number of cocoons parasitized and n is the density of cocoons available (measured as number per square inch). (a) Draw a graph of P versus n. Include values of n up to 2 cocoons per square inch. P 15 10 15 10 5 0.5 1.0 1.5 2.0 n P 15 10 15 10 0.5 MacBook Air 1.0 1.5 WebAssign Plot 2.0 n
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
question is too big to fit in one picture

Transcribed Image Text:SC
The total number P of prey taken by a predator depends on the availability of prey. C. S. Holling proposed a function of the form P = cn/(1+ dn) to model the number of prey taken in certain
situations. Here n is the density of prey available, and c and d are constants that depend on the organisms involved as well as on other environmental features. Holling took data gathered earlier by T.
Burnett on the number of sawfly cocoons found by a small wasp parasite at given host density. In one such experiment conducted, Holling found the relationship
21.96m
1+2.41n'
where P is the number of cocoons parasitized and n is the density of cocoons available (measured as number per square inch).
(a) Draw a graph of P versus n. Include values of n up to 2 cocoons per square inch.
1
P=
A
F1
Q
N
2
P
15
10
P
15
10
*
F2
W
S
X
0.5
#3
80
F3
E
D
1.0
C
$
4
F4
R
1.5
F
01 2
%
5
V
2.0
FS
T
G
18
15
O
10
P
15
10
< 6
P
MacBook Air
B
244
FO
0.5
Y
&
7
44
F7
I
1.0
U
N
1.5
WebAssign Plot
*
8
DII
FB
I
2.0
H J K
M
(
9
n
DD
F9
0
<
)
I
0
L
4
F10
P
>
:
;
3
*
F11
{
J
+
=
[
21
?
41)
F12
..
I
}
I
1
delete
L

Transcribed Image Text:!
1
3
Q
A
N
10
O
FI
P
15
O
10
Need Help? Read It
2
5
cocoons
0.5
F2
W
S
0.5
#
3
80
F3
1.0 1.5
E
D
1.0
X C
$
1.5
4
888
F4
R
(b) What density of cocoons will ensure that the wasp will find and parasitize 7 of them? (Round your answer to one decimal place.)
cocoon(s) per square inch
F
2.0
%
5
2.0
(c) There is a limit to the number of cocoons that the wasp is able to parasitize no matter how readily available the prey may be. What is this upper limit? (Round your answer to the nearest
whole number.)
V
n
A
F5
T
10
G
15
O
10
6
P
A
5
B
0.5
F6
0.5
MacBook Air
Y
H
&
7
80
F7
1.0
1.0
U
N
* CO
1.5
8
1.5
J
DII
F8
I
2.0
M
2.0
(
9
n
K
n
DD
F9
O
<
)
0
L
4
F10
P
V
:
;
(
F11
{
+11
[
=
?
:
4)
F12
I
}
I
1
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images

Recommended textbooks for you

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON

Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press

College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education