Respuesta :

mhanifa

Answer:

Part A

  • Initial population = x,
  • Population after 5 years = 3542
  • Decrease rate = 8.4%

Required formula:

  • x*(1 - 0.084)^5 = 3542
  • x*0.6448 = 3542
  • x = 3542/0.6448
  • x = 5493

Part B

The equation is:

  • E(t) = 5493*0.916^t, where E(t)- population of elk after t years

Part C

  • 3000 = 5493*0.916^t
  • 0.916^t = 3000/5493
  • 0.916^t = 0.5461
  • log 0.916^t = log 0.5461
  • t = log 0.5461 / log 0.916
  • t = 6.9 years (rounded)

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