Social animals that live in groups can spend less time s

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Time left 1:44
Social animals that live in groups can spend less time scanning for predators than solitary individuals. However, they
waste time fighting with the other group members over the available food. There is some group size at which the net
benefit is greatest because the animals spend the least time on these unproductive activities - and thus can spend time
on feeding, mating, etc.
Assume that for a group of size x, the fraction of time spent scanning for predators is
S(x) = 125.8–
and the fraction of time spent fighting with other animals over food is
F(x) = 8.4(x + 1)²
Find the size of the group for which the time wasted on scanning and fighting is smallest. Round your answer to two
decimals.
Answer:
Next page
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MacBook Air
80
DD
F1
F2
F3
F4
F5
F6
F7
F8
F9
@
#3
2$
&
3
7
8.
W
E
Y
S
G
J
K
天
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くO
Transcribed Image Text:Time left 1:44 Social animals that live in groups can spend less time scanning for predators than solitary individuals. However, they waste time fighting with the other group members over the available food. There is some group size at which the net benefit is greatest because the animals spend the least time on these unproductive activities - and thus can spend time on feeding, mating, etc. Assume that for a group of size x, the fraction of time spent scanning for predators is S(x) = 125.8– and the fraction of time spent fighting with other animals over food is F(x) = 8.4(x + 1)² Find the size of the group for which the time wasted on scanning and fighting is smallest. Round your answer to two decimals. Answer: Next page page MacBook Air 80 DD F1 F2 F3 F4 F5 F6 F7 F8 F9 @ #3 2$ & 3 7 8. W E Y S G J K 天 つ エ くO
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