1. **Problem statement:** Given a population growth scenario where the population increases to 11000, find the number of years it takes for this increase. 2. **Formula used:** The population growth can be modeled by the exponential growth formula: $$ P = P_0 e^{rt} $$ where: - $P$ is the final population, - $P_0$ is the initial population, - $r$ is the net growth rate (birth rate minus death rate), - $t$ is the time in years, - $e$ is the base of natural logarithms. 3. **Assumptions:** We assume the initial population $P_0$ and the net growth rate $r$ are known or given from the example. 4. **Rearranging the formula to solve for $t$:** $$ t = \frac{1}{r} \ln\left(\frac{P}{P_0}\right) $$ 5. **Substitute the values:** - Let $P = 11000$ - Use the given $P_0$ and $r$ from the example (not provided here, so assume $P_0$ and $r$ are known). 6. **Calculate $t$:** Calculate the natural logarithm and divide by $r$ to find the number of years. 7. **Interpretation:** The result $t$ gives the time in years for the population to grow from $P_0$ to 11000 under the given birth and death rates. **Note:** Without specific values for $P_0$ and $r$, the exact number of years cannot be computed here.