1. **State the problem:** Determine if the situation is exponential growth or decay and write the equation modeling the population of the school after $x$ years. 2. **Identify growth or decay:** The school population increases by 13.3% per year. 3. **Rule for exponential growth/decay:** - If the rate $r > 0$, it is exponential growth. - If the rate $r < 0$, it is exponential decay. 4. Since the population increases by 13.3%, $r = 0.133 > 0$, so this is exponential growth. 5. **Write the equation:** The general form is $$P(x) = a(1 + r)^x$$ where $a$ is the initial amount and $r$ is the growth rate. 6. Given $a = 225$ and $r = 0.133$, the equation is: $$P(x) = 225(1 + 0.133)^x = 225(1.133)^x$$ **Final answers:** - 4. This is exponential growth. - 5. The population model is $$P(x) = 225(1.133)^x$$