Chapter 7.8, Problem 13PPS

(a)

To determine

To graph: The function of $0\le t\le 100$ .

Explanation of Solution

Given information:

The given function is $g\left(t\right)=\frac{400}{1+16e^{-0.025t}}$ .

Graph:

The graph of given function is shown in figure (1).

  

Figure (1)

Interpretation: Graph for the functions $g\left(t\right)=\frac{400}{1+16e^{-0.025t}}$ shows in figure (1).

(b)

To determine

To find : The intersection of the graphs .

Answer to Problem 13PPS

The intersection of two graph is $t=20.79$ .

Explanation of Solution

Given information:

The given function is $g\left(t\right)=\frac{400}{1+16e^{-0.025t}}$ .

Calculation:

Therefore the intersection of two graph is $t=20.79$ .

(c)

To determine

To explain: The reason of population growth.

Answer to Problem 13PPS

The function more is accurate because $f\left(t\right)$ is increasing but $g\left(t\right)$ the other limitations on population growth.

Explanation of Solution

Given information:

The given function is $g\left(t\right)=\frac{400}{1+16e^{-0.025t}}$ .

Calculation:

Therefore the function is more accurate because $f\left(t\right)$ is increasing but $g\left(t\right)$ the other limitations on population growth.