An animal reserve in Arizona had 100 wild coyotes. Due to drought, there were on

Question

An animal reserve in Arizona had 100 wild coyotes. Due to drought, there were only 63 coyotes after 3 months. Assume the number of coyotes decreases (or decays) exponentially.

Determine the 3-month growth factor.

Determine the 3-month percent change. %

Determine the 1-month growth factor.

Determine the 1-month percent change.

Define a function, s, that determines the number of coyotes in terms of the number of months that have elapsed, t

Define a function, p , that determines the number of coyotes in terms of the number of years that have elapsed, n.

Explanation / Answer

3-month growth factor. =63/100= 0.63

3-month percent change=(1-0.63)*100 % =37 %

1-month growth factor. =(63/100)1/3= 0.85726

1-month percent change=(1-0.85726)*100 % =14.2738 %

function, s, that determines the number of coyotes in terms of the number of months that have elapsed, t is

s=100*((63/100)1/3)t

s=100*(0.85726)t

function, p , that determines the number of coyotes in terms of the number of years that have elapsed, n

p=100*((0.85726)12)n

p=100*(0.15752961)n

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