Question

6. An environmentalist captures 6 members of an endangered species and transport them to a controlled environment where they can on her research, she expects the population to grow according the model produce offspring and regenerate their population. Based 500 Р () 1+ Aekt Find A [a.] [b.] Assuming the model is correct, how many animals can the environment sustain? This number is called the carrying capacity. Find k if the population reaches 39 after 12 years c.] d.] How ong does it take for the population to reach one-half of the carrying capacity?

Answer 1

6) SoO Plo)6 Pl+) A c k -) A = 24Z 3 ) Po)= 5o0 b) Sinu endangered pe cis are in controled yrtem , and the incuaring b nagative popularion Kahould im tco Soo Plt)= im /2 47ekt 3 e

P C12) 39 c) Soo 39 Z 1 247e12 K 247e 2K SoO- 3 3 9 e12 K 4-6 3211 =) Ln e12) 3211 4-6 Ln 2 - In 321 Pcr y ean 2 461 O.16174-497 pur ycan V

2 SO ol) PCt) Kt 5oO Ae 2 こ250 Ackt ヒ上 12 Ln/247/3) in (3211/46) In (A) yearus K 27. 27 27. 2699 years Yeors 1