The number N of threatened and endangered species in the U.S. can be approximated by: N = frac{42.58t^2 + 690}{0.03t^2 + 1}, where t represents the year, with t = 0 corresponding to 1990. a. Use the model to estimate the number of threatened and endangered species there were in 1995. Explain or show how you found your answer. b. Use the model to estimate the number of threatened and endangered species in 2018, assuming this model is still applicable. Explain or show how you found your answer. c. According to the model, in the long run (many years into the future), what will be the maximum number of threatened and endangered species. Explain or show how you found your answer.
Added by Francisco Javier M.
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To estimate the number of threatened and endangered species in 1995, we need to find the value of the function when t = 1995 - 1990 = 5. So, we plug in t = 5 into the equation: N(5) = 42.584 * (1 - e^{-0.03 * 5}) N(5) ≈ 42.584 * (1 - e^{-0.15}) Show more…
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