34.4k views
2 votes
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?

1 Answer

1 vote

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^{(t)/(T_d)}
\begin{gathered} N(30)=(150)2^{(30)/(18)} \\ \approx476 \end{gathered}
\begin{gathered} N(365)=(150)2^{(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.

User Jonatas  Eduardo
by
7.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.