Question
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)
Answers
GPT 3.5
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.
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.