FISH POPULATION

\

Fish Population

Fish Population

Calculated Values

N (t) = W (t) =1.2ln( +1)

Months

N(t)

w(t)

H(t)

0

250

0

0

1

251

0.16531

41.493

2

254

0.33849

85.9761

3

259

0.49827

129.053

4

266

0.64416

171.345

5

275

0.77764

213.852

6

286

0.90041

257.517

7

299

1.01394

303.167

8

314

1.11947

351.514

9

331

1.21805

403.174

10

350

1.31052

458.681

11

371

1.3976

518.508

12

394

1.47988

583.073

13

419

1.55788

652.75

14

446

1.63202

727.879

15

475

1.70267

808.766

16

506

1.77015

895.694

17

539

1.83473

988.922

18

574

1.89667

1088.69

19

611

1.95617

1195.22

20

650

2.01343

1308.73

21

691

2.0686

1429.4

22

734

2.12184

1557.43

23

779

2.17328

1692.98

24

826

2.22304

1836.23

Task 1

1 (a) The initial number of fry introduced in the tank is N (0) = = 250 fry were introduced.

1 (b)

1(c) From the graph the value at 6.5 months is ~ 285

From the model the value at 6.5 months

N (t) = = 292.25 fry

1 (d)

1 (e) i. From the graph the mean weight of the fish at 5 months is ~ 0.9 kg

ii. From the model the mean weight of the fish at 5 months

W (t) = 1.2ln ( = 0.958 kg

iii. From the ...