First let's examine viral growth inside a human body. Assume that when a person contracts the COVID-19 virus, it grows at a rate between 10% and 20%.
1. a. Choose a growth rate for the COVID-19 virus, write an exponential
growth function. Be sure to use the equation for continuous compounding A(t) = Pe^rt (1 point)
Let's assume a growth rate of 15% for the COVID-19 virus.
The exponential growth function can be written as:
A(t) = Pe^(rt)
Where:
A(t) represents the final amount of the virus at time t.
P represents the initial amount of the virus.
e is the base of the natural logarithm (approximately equal to 2.71828).
r is the growth rate (in decimal form).
t represents the time (in this case, the number of days).
So, the exponential growth function for the COVID-19 virus with a growth rate of 15% would be:
A(t) = Pe^(0.15t)