There are approximately 7.7 billion humans on Earth. If the virus spreads beyond the 200-person town, how long will it be until everyone on the planet is infected if the number of infected people doubles every week?

25.2 weeks until everyone on the planet is infected

Step-by-step explanation:

The number of infected people after t weeks has the following format:

In which P(0) is the initial number of infected people and r is the growth rate, as a decimal.

The number of infected people doubles every week

This means that

So

So

200-person town

This means that

So

How long will it be until everyone on the planet is infected?

This is t for which P(t) = 7700000000[/tex]

So

25.2 weeks until everyone on the planet is infected