KJ4UTS
  • KJ4UTS
A breeding group of beavers is introduced into a protected area. After t years the number of beavers in the area is modeled by the function N(t)= 54/0.35+0.68^t 1. How many beavers were initially introduced? 2. Estimate the number of beavers after 5 years. 3. Determine the change in the beaver population between t = 5 and t = 10. (Note: All answers are whole numbers.)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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KJ4UTS
  • KJ4UTS
I think that the answers are (I just want to make sure): 1. 40 2. 109 3. 36.5 or 37 I think would be a whole number
KJ4UTS
  • KJ4UTS
@peachpi
KJ4UTS
  • KJ4UTS
N(t)= 54/0.35+0.68^0 = 40 N(t)= 54/0.35+0.68^5 = 109

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KJ4UTS
  • KJ4UTS
I did the question and got partial points and would like to know where I went wrong?
tkhunny
  • tkhunny
You have written \(N(t) = \dfrac{54}{0.35} + 0.68^{t}\). This appears not to be what you intend. Please write clearly.
anonymous
  • anonymous
yes the first two are correct. For the third, it looks like you found N(10) instead of the calculating the rate of change
anonymous
  • anonymous
rate of change = [N(10) - N(5)] / (10 - 5)
KJ4UTS
  • KJ4UTS
@tkhunny sorry its N(t)= 54/(0.35+0.68^t)
tkhunny
  • tkhunny
So much better. Notation matters. Be careful.
anonymous
  • anonymous
misread that. The don't want the rate of change, just the change. N(10) - N(5) is what you're asked for.
KJ4UTS
  • KJ4UTS
how do I use N(10) - N(5) do I plug something in?
anonymous
  • anonymous
yes, you plug in 5 and 10 for t. This is what you had above. N(t)= 54/(0.35+0.68^5) = 109 The N(t) should be N(5) because you substituted 5 for t. This is correct N(5)= 54/0.35+0.68^5 = 109.
anonymous
  • anonymous
So plug in 10 for t to find N(10)
KJ4UTS
  • KJ4UTS
145.4979
KJ4UTS
  • KJ4UTS
do I subtract the two?
tkhunny
  • tkhunny
That's N(10). What else would you do to find a change or difference?
KJ4UTS
  • KJ4UTS
I am not sure? I thought it would be 145-109?
anonymous
  • anonymous
yes subtract
KJ4UTS
  • KJ4UTS
if I just do 145-109=36 before I got 36.5 and rounded it to 37 and I got partial points maybe its just 36
anonymous
  • anonymous
it seems so
KJ4UTS
  • KJ4UTS
ok thank you :)
anonymous
  • anonymous
you're welcome

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