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

Well formatted question is in the picture attached below.

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

Step-by-step 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)

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.