1. **State the problem:** You have a $13500 scholarship and spend $500 each month. We want to model the remaining scholarship amount after $x$ months. 2. **Write the function:** The remaining amount decreases by $500$ each month, so the function is $$g(x) = 13500 - 500x$$ where $x$ is the number of months and $g(x)$ is the remaining scholarship amount. 3. **Evaluate $g(5)$:** Substitute $x=5$ into the function: $$g(5) = 13500 - 500 \times 5$$ $$g(5) = 13500 - 2500$$ $$g(5) = 11000$$ So, after 5 months, you have $11000$ remaining in your scholarship. This function helps you track how much scholarship money you have left as you spend $500$ each month.