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Pn+1

Pontz - 1.75(P..)2

Pu-1

The population model describing the population of antelope in an area is:

++ (32 – PM)

The maximum population sustainable in the area is 135, and the current population is 89. Find the population of antelope

after each of the first ten years. Be sure to round to the nearest whole number before each calculation.

a. 101, 110, 116, 121, 125, 128, 130, 131, 132, C. 89, 101, 110, 116, 121, 125, 128, 130, 131, 132

133

b. 135, 135, 135, 135, 135, 135, 135, 135, 135, d. 121, 135, 136, 135, 135, 135, 135, 135, 135,

135

135

User Webkitfanz
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1 Answer

4 votes

Well formatted question is in the picture attached below.

Answer:

(89, 101, 110, 116, 121, 125, 128, 130, 131, 132)

Explanation:

Given the function that models the population of antelopes :

Pn+1 = [1.75(Pn)^2/(Pn-1)] + 32 - Pn

n = 1

P1+1 = [1.75(Pn)^2/(Pn-1)] + 32 - Pn

Initial population, Pn = P1 = 89

P2 = (1.75(89)^2/(89-1)) + 32 - 89 = 100.519 = 101

P3 = (1.75(101)^2/(101-1)) + 32 - 101 = 109.52 = 110

P4 = (1.75(110)^2/(110-1)) + 32 - 110 = 116.27 = 116

P5 = (1.75(116)^2/(116-1)) + 32 - 116 = 120.77 = 121

P6 = (1.75(121)^2/(121-1)) + 32 - 121 = 124.51 = 125

P7 = (1.75(125)^2/(125-1)) + 32 - 125 = 127.51 = 128

P8 = (1.75(128)^2/(128-1)) + 32 - 128 = 129.76 = 130

P9 = (1.75(130)^2/(130-1)) + 32 - 130 = 131.26 = 131

P10 = (1.75(131)^2/(131-1)) + 32 - 131 = 132.01 = 132

(89, 101, 110, 116, 121, 125, 128, 130, 131, 132)

Pn+1 Pontz - 1.75(P..)2 Pu-1 The population model describing the population of antelope-example-1
User Svbaker
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