Question

You discover a termite tunnel on your home and read that they have a doubling time of 18 days. If there are typically 150 termites in 1 tunnel, how many termites will your house have in: a. 1 month (30 days)? b. 1 year?

Answer 1

Okay, here we have this:

Considering the provided information, we are going to calculate the requested amount of termites, so we obtain the following:

To do this, we will replace the doubling time in the following formula:

$N(t)=N_02^{\frac{t}{T_d}}$$\begin{gathered} N(30)=(150)2^{\frac{30}{18}} \\ \approx476 \end{gathered}$$\begin{gathered} N(365)=(150)2^{\frac{365}{18}} \\ \approx190682402 \end{gathered}$

Finally we obtain that:

a. After 1 month (30 days) will be approximately 476 termites.

b. After 1 year (365 days) will be approximately 190'682402 termites.