1. **State the problem:** Graph the inequality $1.25x + 2.50y \geq 100$ which represents the money raised by selling donut holes and cider. 2. **Rewrite the boundary line:** The boundary line is $1.25x + 2.50y = 100$. 3. **Find intercepts:** - When $x=0$, solve for $y$: $$2.50y = 100 \Rightarrow y = \frac{100}{2.50} = 40$$ - When $y=0$, solve for $x$: $$1.25x = 100 \Rightarrow x = \frac{100}{1.25} = 80$$ 4. **Plot the intercepts:** The line passes through points $(0,40)$ and $(80,0)$. 5. **Shade the region:** Since the inequality is $\geq$, shade the region above or on the line. **Final inequality:** $$1.25x + 2.50y \geq 100$$