The spread of the flu virus in a small city is modeled by the function v(t)=2(3)t, where t is the time in days and v(t) is the number of people with the flu virus at timet. What is the meaning of the number 3 in the function in this context?

Hence the nature of graph i.e the slope ,stiffness and nature will depend upon the number 3

Step-by-step explanation:

Given:

V(t)=2(3)t

To Find:

What number in function  3 indicates.

Solution:

This function is related to the  Growth of virus (population growth)

Population are generally exponential as follows:

Y=Y0e^(kt)

here

Y=present or on "t"year value.

Y0= value at that particular year

e is the  how graph is going to follows as per time period.

k= time constant .

t= time period.

Comparing given equation with the exponential growth,

Y=V(t)

Y0=2

e is represented  by 3

As e is irrational number  we cannot express in p/q form but we 3 can expressed in p/q.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0