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.

Option D

Step-by-step explanation:

In this problem we have a exponential function of the form

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

its definatley   this on your answer choice?

a - base

b - exponent

so,