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April 27, 2015

April 27, 2015

Posted by **Jake** on Tuesday, March 26, 2013 at 9:34pm.

a)How many rabbits are now in the forest

b)Estimate when it will take for the number of rabbits to reach 12,000?

c)Estimate how many rabbits there will be 50 years from now

d)Estimate how many rabbits there will be in 100 years from now.

Please show as much work as possible.

- Math-Population Word Problem -
**Reiny**, Tuesday, March 26, 2013 at 9:53pmat "present time" t = 0

P = 8600 + 650(ln(1), but ln1 = 0

= 8600

b) 8600 + 650 ln(t+1) = 12000

ln(t+1) = 5.23077

t + 1 = e^5.23077 = 186.9

t = 185.9 years ???? (my math is correct)

c) plug in 50 for t, evaluate

(I got 11,156)

d) same as c, plug in t = 100

- Math-Population Word Problem -
**Jake**, Tuesday, March 26, 2013 at 10:03pmthank you very much, it all makes sense now except for a. could you explain how you get that number. I plugged it into a calculator and it is correct but i just don't understand how it works.

- Math-Population Word Problem -
**Bosnian**, Tuesday, March 26, 2013 at 10:10pma )

Now t = 0

8,600 + 650 ln( t + 1 ) =

8,600 + 650 ln( 0 + 1 )=

8,600 + 650 ln ( 1 ) =

8,600 + 650 * 0 =

8,600 + 0 = 8,600

b )

8,600 + 650 ln( t + 1 ) = 12,000

650 ln( t + 1 ) = 12,000 - 8,600

650 ln( t + 1 ) = 3,400

ln( t + 1 )= 3,400 / 650

ln( t + 1 )= 5.23076923

t + 1 = e ^ 5.23076923

t + 1 = 186.93655

t = 186.93655 - 1 = 185.93655

c )

8,600 + 650 ln( 50 + 1 ) =

8,600 + 650 ln( 51 ) =

8,600 + 650 * 3.93182563 =

8,600 + 2,555.6866595 = 11,155.6866595

Rounded 11,156

d )

8,600 + 650 ln( 100 + 1 ) =

8,600 + 650 ln( 101 ) =

8,600 + 650 * 4.61512 =

8,600 + 2999.828 = 11,599.828

Rounded 11,600

- Math-Population Word Problem -
**Jake**, Tuesday, March 26, 2013 at 10:12pmOhh my gosh, thank you. I was just confused about "a" but the extra information cant hurt. Thank you so much.