Question

The rabbit population in a small zoo starts with 150 rabbits. The rabbit population is decreasing at a rate of 15% each week. Which of the following represents the total number of fish, F(x), after x number of weeks. (4.2)

a. F(x) = 150( .15)^x


b. F(x) = 150 (1.15)^x


c. F(x) = .85 (150)^x


d. F(x) = 150 (.85)^x


e. None of the above.

Answer 1

e. none of the above

Explanation:

I had this question as well and if you look closely, the question describes the function in terms of rabbits, when the actual question describes fish. I believe that because the question is asking for fish when only information on rabbits has been given, the only logical answer would be e. none of the above...

Answer 2

Option D
`F(x)=150(0.85)^(x)`

Explanation:

In this problem we have a exponential function of the form

`F(x)=a(b)^(x)`

where

F(x) -----> the rabbit population

x ----> the number of weeks

a is the initial value

b is the base

In this problem we have

a=150 rabbits

b=1-r

r=15%=15/100=0.15

so

b=1-0.15=0.85

substitute the values

`F(x)=150(0.85)^(x)`