Question

A virus takes 6 days to double its original population (A=2A0). How long will it take to triple its population? Round to the nearest tenth.

Answer 1

The time it takes the virus population to triple is at least 9.5 days.

Explanation:

Answer 2

9.5 days

Explanation:

-This problem can be modeled using an exponential function of the form:

`A=A_oe^(rt)\\\\A=Population \ at \ time\ t\\A_o=Initial \ Population\\r-Growth \ rate\\t=time`

#We equate to solve for r:

`A=A_oe^(rt), A=2A_o\\\\\therefore 2=e^(6r)\\\\\\r=(In \ 2)/(6)\\\\=0.1155`

#we then use this calculate this growth rate to calculate t when A=
`3A_o`:

`A=A_oe^(rt), A=3A_o\\\\3=e^(0.1155t)\\\\t=(In \ 3)/(0.1155)\\\\=9.5118\approx 9.5 \ days`

Hence, it takes approximately 9.5 days for the population to triple.