https://file.aiquickdraw.com/mathbot/file/1730319515738hfbocglr.jpg

To calculate the "pente moyenne" (average slope) for Amélie’s bike ascent, we need to use the formula given in the image:

\[
p = \frac{d}{L} \times 100
\]

where:
- \( d \) is the difference in altitude (in meters),
- \( L \) is the length of the route (in kilometers, converted to meters), and
- \( p \) is the slope percentage.

From the image:
- Starting point altitude (Léoncel) is 913 m,
- Ending point altitude (Col de la Bataille) is 1313 m,
- Distance \( R = 8.3 \) km.

### Step-by-Step Calculation:
1. **Calculate \( d \), the difference in altitude:**
   \[
   d = 1313 - 913 = 400 \text{ m}
   \]

2. **Convert \( L \) to meters:**
   \[
   L = 8.3 \text{ km} = 8300 \text{ m}
   \]

3. **Calculate \( p \):**
   \[
   p = \frac{400}{8300} \times 100 \approx 4.82\%
   \]

The average slope for Amélie’s ascent is approximately **4.82%**.

Would you like further details or have any questions?

### Related Questions:
1. How do you classify the ascent if the slope percentage is known?
2. What is the significance of slope percentage in cycling difficulty?
3. How would the slope percentage change if the altitude difference were different?
4. How does distance affect the slope calculation?
5. What are the different categories in the classification system shown in the image?

#### Tip:
For accurate slope calculations, always convert units to ensure consistency.

Learn how to calculate the average slope for a cycling ascent from Léoncel (alt. 913m) to Col de la Bataille (alt. 1313m) over a distance of 8.3 km. This problem covers slope calculation, percentage, and unit conversions. Suitable for students in Grades 9-10.

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