The number of rabbits present in a community can be modeled by a function, where P(t)=500e^0.5t is the number of rabbits present after t years. Using this model, determine how many rabbits will be present after 15 years, rounding to the nearest rabbit.(1 point)

Answer 1

To find the number of rabbits present after 15 years, we need to substitute t = 15 into the function P(t) = 500e^(0.5t).
P(15) = 500e^(0.5*15)
P(15) = 500e^7.5
Now we calculate e^7.5 ≈ 1801.83 (to 2 decimal places)
P(15) ≈ 500 * 1801.83 ≈ 900,915 rabbits

Therefore, after 15 years, there will be approximately 900,915 rabbits present.