A herd of white-tailed deer is introduced to a coastal island where there had been no deer before. Their population is predicted to increase according to

Question

A herd of white-tailed deer is introduced to a coastal island where there had been no deer before. Their population is predicted to increase according to

A(t)=182 / 1+13e^−0.5t

where A is the number of deer expected in the herd after tt years.

(a) How many deer were initially introduced to the island?

__________ deer

(b) How many deer will be present after 2 years? Round your answer to the nearest whole number.

___________ deer

(c) How many years will it take for the herd to grow to 50 deer? Round your answer to the nearest whole number.

___________years

Answer 1

(a) When the deer were initially introduced t = 0, substitute for t and solve for A(0)

(b) t = 2, Solve for A(2)

(c) A(x) = 50, so Solve the equation 50 = 182 / 1+13e^−0.5t for t

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