f x = 3,000 0.75 x A conservation scientist implemented a program to reduce the population of a certain species

Question

f x = 3,000 0.75 x A conservation scientist implemented a program to reduce the population of a certain species in an area. The given function estimates this species' population x years after 2008 , where x &#8804; 8 . Which of the following is the best interpretation of 3,000 in this context?

Accepted Answer

Choice D is correct. Substituting 0 for x in the given equation yields f 0 = 3,000 0.75 0 , which is equivalent to f 0 = 3,000 1 , or f 0 = 3,000 . It&rsquo;s given that the function estimates the species&rsquo; population x years after 2008 , so it follows that the estimated population of the species is 3,000 in 2008 . Therefore, the best interpretation of 3,000 in this context is the estimated initial population for this species and area in 2008 . Choice A is incorrect and may result from conceptual errors. Choice B is incorrect. The estimated percent decrease in the population for this species and area each year after 2008 is 25 % , not 3,000 . Choice C is incorrect. The estimated population for this species and area 8 years after 2008 is 3,000 0.75 8 , or approximately 300 , not 3,000 .

Question 1b3396