An animal reserve in Arizona had 94 wild coyotes. Due to drought, there were onl

Question

An animal reserve in Arizona had 94 wild coyotes. Due to drought, there were only 61 coyotes after 3 months. Assume the number of coyotes decreases (or decays) exponentially a. Determine the 3-month growth factor. Preview 61 b. Determine the 3-month percent change. % Preview c. Determine the 1-month growth factor. 0.848092609 Preview d Determine the 1-month percent change. --]8% Preview 161907301 e. Define a function, &, that determines the number of coyotes in terms of the number of months that have elapsed, t. -100"(0B48092609rt Preview f. Define a function, p, that determines the number of coyotes in terms of the number of years that have elapsed, n. p.100"(0.1384584|rn__] # | Preview

Explanation / Answer

Intial = 94 coyotes

after 3 months = 61 coy0tes

a) 3 month growth factor :

decay = (94 -61)/94 = 0.35

1 - a = 1- 0.35 = 0.65

Grwoth factor = 0.65

b) 3-month percent change. = 35%

c) 1 month growth factor

61 = 94(b)^3 where b is 1 month grwoth factor

b = (61/94)^1/3 = 0.866

1 month % change = (1- 0.866)*100 = 13.40 %

e) s(t) = 94(0.866)^t

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