Answer :

opudodennis

Answer:

7892 dolphins

Step-by-step explanation:

let P denote the dolphin population.

-Notice this is an exponential decay and is denoted as:

[tex]P_t=P_oe^{-rt}[/tex]

Where;

  • [tex]P_t[/tex] is the population at time t
  • t is the time
  • r is the rate of decay or decrease in population
  • [tex]P_o[/tex] is the initial population size.

#Given t=30yrs, [tex]P_o[/tex]=20000 and r=3.1%, the population after 30 years is estimated as:

[tex]P_t=P_oe^{-rt}\\\\=20000e^{-0.031\times 30}\\\\=7891.07\approx7892\ dolphins[/tex]

Hence, the dolphin population after 30yrs is approximately 7892

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