In an insect colony there are 270 insects after 9 days. If there were initially 80 insects how long will it take the population to grow to 800 insects?

The time it will take the population to grow to 800 insects is 17 days.

Step-by-step explanation:

The growth function of the insects is exponential.

The exponential growth function is:

Here,

y = final value

a = initial value

r = growth rate

t = time taken

It is provided that there were 270 insects after 9 days and initially there were 80 insects.

Compute the value of r as follows:

Now, compute the time it will take the population to grow to 800 insects as follows:

Thus, the time it will take the population to grow to 800 insects is 17 days.

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