Avirus takes 8 days to double its original population (a=2a0). how long will it take to quadruple its population? round to the nearest tenth.

The number of days it takes to quadruple it's population is; 16days

According to the question;

Therefore;

8days = 2A.

We are required to determine how long it will take to quadruple it's population;

Let no. of days required = x days.

By cross multiplication; we have;

By dividing through by 2A; we have;

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It takes 16 days to quadruple its population.

Step-by-step explanation:

The population of the virus can be represented by the following exponential function.

In which A(t) is the population after t days, is the initial population and r is the growth rate.

In this problem, we have that:

So, we use this to find the value of r.

Applying ln to both sides

How long will it take to quadruple its population?

This is t when

Again we apply ln to both sides.

It takes 16 days to quadruple its population.

paula, cory, and krista

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