Show all necessary solutions. 1. A scientist working in Africa discovered that in a particular safari, the carrying capacity is 2,000 tigers. Five hundred tigers where then released into the safari. The growth of the tiger pack is modeled by the logistic equation 2000 P(t) : 1+ 3e-0.145t where t is the time in months. (a) Estimate the tiger population after 6 months. (b) After how many months will the tiger population reach 1,500. 2. A new species of animal was discovered to initially have a population of 215. After 10 years of uninhibited growth, the population rose to 1,134. Write an exponential function that approximately models the population of this species.

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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GEC104: Mathematics in the Modern World
Mathematics in Medicine and the Life Sciences
Show all necessary solutions.
1. A scientist working in Africa discovered that in a
particular safari, the carrying capacity is 2,000 tigers. Five
hundred tigers where then released into the safari. The
growth of the tiger pack is modeled by the logistic
equation
2000
P(t) =
1+ 3e-0.145t
where t is the time in months.
(a) Estimate the tiger population after 6 months.
(b) After how many months will the tiger population reach
1,500.
2. A new species of animal was discovered to initially have
a population of 215. After 10 years of uninhibited growth,
the population rose to 1,134. Write an exponential
function that approximately models the population of this
species.
Transcribed Image Text:GEC104: Mathematics in the Modern World Mathematics in Medicine and the Life Sciences Show all necessary solutions. 1. A scientist working in Africa discovered that in a particular safari, the carrying capacity is 2,000 tigers. Five hundred tigers where then released into the safari. The growth of the tiger pack is modeled by the logistic equation 2000 P(t) = 1+ 3e-0.145t where t is the time in months. (a) Estimate the tiger population after 6 months. (b) After how many months will the tiger population reach 1,500. 2. A new species of animal was discovered to initially have a population of 215. After 10 years of uninhibited growth, the population rose to 1,134. Write an exponential function that approximately models the population of this species.
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