On November 27, 1993, the New York Times reported that wildlife biologists have

Question

On November 27, 1993, the New York Times reported that wildlife biologists have found a direct link between the increase in the human population in Florida and the decline of the local black bear population. From 1953 to 1993, the human population increased, on average, at a rate of 8% per year, while the black bear population decreased at a rate of 6% per year. In 1953 the black bear population was 11,000. (a) The 1993 human population of Florida was 13 million. What was the human population in 1953? people (Round to nearest whole person. Do not include commas in your answer.) help (numbers) (b) Find the black bear population for 1993. bears (Round to nearest whole bear. Do not include commas in your answer.) help (numbers) (c) Had this trend continued, when would the black bear population have numbered less than 100? In the year help (numbers)

Explanation / Answer

a) 1993 population = 13 million

In 1953 Populaiton = P and increased at rate of 8% per year

Total population after 40 year =P(1+0.08)40 = 13 million

P = 13/21.7245= 598402 populaiton

b) Black buck populaiton in 1993 = 11,000(1-0.06)40 = 926 bears

c) let after t year population of black beers =100

100 =11000(1-0.06)t  

1 =110(0.94)t

1/110 = (0.94)t

ln (1/110) = t ln (0.94)

-4.7 = t *(-0.061)

t = 4.7 / 0.061 = 77 years

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.