Question: User: Abdulla climbs a rocky slope that rises 12m of each 6 meters across. His friend Jonathen climbs a nearby grassy slope that rises 25 m for each 12m across. Which slope is steeper?
1. **State the problem:** We need to determine which slope is steeper between Abdulla's rocky slope and Jonathen's grassy slope.
2. **Formula used:** The steepness of a slope can be measured by its slope ratio, which is the rise over the run: $$\text{slope} = \frac{\text{rise}}{\text{run}}$$
3. **Calculate Abdulla's slope:**
$$\text{slope}_{Abdulla} = \frac{12}{6} = 2$$
4. **Calculate Jonathen's slope:**
$$\text{slope}_{Jonathen} = \frac{25}{12}$$
5. **Compare the slopes:**
Since $$2 = \frac{24}{12}$$ and $$\frac{25}{12} > \frac{24}{12}$$, we have
$$\text{slope}_{Jonathen} > \text{slope}_{Abdulla}$$
6. **Conclusion:** Jonathen's grassy slope is steeper than Abdulla's rocky slope.