It looks like your question got cut off. However, I can help you with a general scenario regarding the growth of a population of beetles that increases at a rate of 22% per month.
To find out the population size after a certain number of months, we can use the formula for exponential growth:
\[ P(t) = P_0 \times (1 + r)^t \]
where:
- \( P(t) \) is the population at time \( t \),
- \( P_0 \) is the initial population,
- \( r \) is the growth rate (as a decimal), and
- \( t \) is the time in months.
Given that the growth rate is 22%, we convert that to a decimal:
\[ r = 0.22 \]
If you provide an initial population, \( P_0 \), and the time period \( t \) (in months), I can calculate the population size for you! Just let me know those details.