Samuel went on a run in the park. His path is shown on the coordinate plane below.

What is the total distance Samuel ran?
A.22.7
units
B.16
units
C.50
units
D.39
units

To determine the total distance Samuel ran, we need to analyze his path on the coordinate plane. The problem implies that his path can be represented by segments, which we can calculate individually and sum to find the total distance.

### Step-by-step approach:
1. **Identify the coordinates** of the points where Samuel's path changes direction.
2. **Calculate the distance between each consecutive pair of points** using the distance formula:
   \[
   \text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
   \]
   where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of two consecutive points.
3. **Sum the distances of each segment** to find the total distance Samuel ran.

Since I don't have the coordinate plane, I'll need a description of the points Samuel traveled through or an image of the coordinate plane. Could you upload a photo or describe the points? This will allow me to calculate the exact distance Samuel ran.

Would you like to upload the image of the coordinate plane?

### Relative questions:
1. How do we apply the distance formula between two points on a coordinate plane?
2. What is the significance of summing distances of line segments on a coordinate plane?
3. Can you explain how the Pythagorean theorem relates to the distance formula?
4. What is a common mistake when calculating distances between points?
5. How does knowing coordinates help in real-life scenarios such as navigation?

**Tip:** Always double-check coordinates when applying the distance formula to avoid calculation errors.

Samuel went on a run in the park. His path is shown on the coordinate plane below. What is the total distance Samuel ran? A.22.7 units B.16 units C.50 units D.39 units

Find out how to calculate the total distance Samuel ran by analyzing his path on a coordinate plane. This problem involves applying the distance formula and summing distances between points. Suitable for students in Grades 8-10.

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