Pn= 40(1.156n) what is the initial population of slugs

The initial populations of slugs is 40

Step-by-step explanation:

we have

This is a exponential function of the form

where

a is the initial value (value of f(x) when the value of x is equal to zero)

b is the base

r is the rate

b=(1+r)

In this problem we have

therefore

The initial populations of slugs is 40

Verify

For n=0

substitute in the function

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

you probably already have the answer but anyways it's b. 15.0

step-by-step explanation: