Question

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

Answer 1

The initial populations of slugs is 40

Explanation:

we have

`P(n)=40(1.156^(n))`

This is a exponential function of the form

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

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

`a=40\\b=1.156\\r=b-1=1.156-1=0.156=15.6\%`

therefore

The initial populations of slugs is 40

Verify

For n=0

substitute in the function

`P(0)=40(1.156^(0))`

`P(0)=40(1)`

`P(0)=40\ slugs`