https://file.aiquickdraw.com/mathbot/file/17271119842305djyaqhu.jpg

To solve the problem, we need to determine which graph best represents the slope (or rate) that corresponds to Tyrell jogging 18 miles in 3 hours.

### Step-by-step solution:
- **Rate** (or slope) is defined as:
  \[
  \text{Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{18 \, \text{miles}}{3 \, \text{hours}} = 6 \, \text{miles per hour}
  \]

- This means that for every 1 hour, Tyrell jogs 6 miles. Therefore, the slope of the line should correspond to this rate.

- **Identifying the correct graph:**
  We are looking for a graph where:
  - The x-axis represents time (in hours).
  - The y-axis represents distance (in miles).
  - After 1 hour, the graph should show a distance of 6 miles.
  - After 3 hours, the graph should show a distance of 18 miles.
  - The slope of the line should be 6 miles per hour.

By analyzing the graphs in the image:
- **Option A:** The slope looks too steep.
- **Option B:** This graph shows a line with the correct slope where Tyrell covers 18 miles in 3 hours, which matches the rate of 6 miles per hour.
- **Option C and D:** Both show slopes that are too steep, indicating much faster speeds.

Thus, the correct answer is **Option B**.

Would you like any further clarification on this? Here are 5 related questions to deepen your understanding:

1. How do you calculate slope from two points on a graph?
2. What is the difference between speed and velocity?
3. How can you represent different rates using linear equations?
4. How does changing the slope of a line affect its representation of speed?
5. How do you interpret a graph where the slope is 0?

**Tip:** When calculating the slope in word problems, always keep the units in mind (e.g., miles per hour, meters per second) to ensure correct interpretation of the rate.

Tyrell jogs 18 miles in 3 hours. Which graph has the slope that best represents this rate?

Learn how to determine which graph best represents Tyrell's jogging rate of 6 miles per hour. This problem involves calculating slope and using linear equations to find the correct graph. Suitable for students in Grades 6-8.

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