Question

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

Answer 1

Answer:

The initial populations of slugs is 40

Step-by-step 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

$P(0)=40(1.156^{0})$

$P(0)=40(1)$

$P(0)=40\ slugs$