The population of Sasquatch in Bigfoot county is modeled by

The population of Sasquatch in Bigfoot county is modeled by 640 P(t) = 1 +6.08e-0.73 where P(t) is the population of Sasquatch t years after 2010. (b) Find P(O). Round to the nearest sasquatch. P(0) = Sasquatch Submit Answer Tries 0/99 (b) Find the population of Sasquatch in Bigfoot county in 2016. Round your answer to the nearest Sasquatch. P(6) = Sasquatch Submit Answer Tries 0/99 (c) When will the population of Sasquatch in Bigfoot county reach 360? Round your answer to the nearest year Year: Submit Answer Tries 0/99

Solution

P = 640/(1 + 6.08e^(-0.73t))

P(0) :
Plug in t = 0

P = 640/(1 + 6.08e^0)

P = 640/7.08 = 90.3954802259887006

So, 90

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b)
t yrs after 2010
So, 2016 means t = 6

P(6) = 640/(1 + 6.08e^(-0.73*6))

= 640/1.0761541804161323

= 595

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c)
360 = 640/(1 + 6.08e^(-0.73t))

1 + 6.08e^(-0.73t) = 640/360

6.08e^(-0.73t) = 7/9

e^(-0.73t) = 0.1279239766081871382

-0.73t = ln(0.1279239766081871382)

t = 2.816875512683536558690137

So, abt in the year 2013