OB. Oc. D. Ay 10- 10- 10- 10- 0 24 The vertices of the region that describes the possible inventory of houses are (Type ordered pairs. Use a comma to separate answers as needed.)

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**Graph Analysis: Determining the Possible Inventory of Houses**

Below, you can find multiple graphs representing regions on a coordinate plane. Each graph shows a shaded area that illustrates the possible inventory combinations of houses, subject to certain constraints. Your task is to determine the vertices of these regions.

**Options:**

**A.**
- This graph shows a coordinate plane with an area shaded in light blue. The shaded region extends from the origin to the point (10, 0) on the x-axis and to the point (0, 10) on the y-axis, forming a right triangle. Additionally, there is a red line that includes the line segment connecting these two points.

**B.**
- Similarly, this graph also shows a shaded region in light blue on the coordinate plane, forming a right triangle. The region extends between the origin, (10, 0) on the x-axis, and (0, 10) on the y-axis. The red line connects these two points.

**C.**
- The graph in option C depicts a light blue shaded area on a coordinate plane. The shaded region forms a triangle extending from the origin to (10, 0) on the x-axis and to (0, 10) on the y-axis. The red line also connects these two points.

**D.**
- The final graph displays a coordinate plane with a shaded region in light blue, extending from the origin, along the x-axis to (8, 0), and up to (0, 8) on the y-axis. The region forms a right triangle by connecting these points with a red line.

**Correct Selection:**

- The correct graph is represented in option **D**, marked with a check. The vertices of the region that describe the possible inventory of houses are (0, 0), (8, 0), and (0, 8).

**Answer Input:**
The vertices of the region that describes the possible inventory of houses are **(0, 0), (8, 0), (0, 8)**. (Type ordered pairs. Use a comma to separate answers as needed.)

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Transcribed Image Text:--- **Graph Analysis: Determining the Possible Inventory of Houses** Below, you can find multiple graphs representing regions on a coordinate plane. Each graph shows a shaded area that illustrates the possible inventory combinations of houses, subject to certain constraints. Your task is to determine the vertices of these regions. **Options:** **A.** - This graph shows a coordinate plane with an area shaded in light blue. The shaded region extends from the origin to the point (10, 0) on the x-axis and to the point (0, 10) on the y-axis, forming a right triangle. Additionally, there is a red line that includes the line segment connecting these two points. **B.** - Similarly, this graph also shows a shaded region in light blue on the coordinate plane, forming a right triangle. The region extends between the origin, (10, 0) on the x-axis, and (0, 10) on the y-axis. The red line connects these two points. **C.** - The graph in option C depicts a light blue shaded area on a coordinate plane. The shaded region forms a triangle extending from the origin to (10, 0) on the x-axis and to (0, 10) on the y-axis. The red line also connects these two points. **D.** - The final graph displays a coordinate plane with a shaded region in light blue, extending from the origin, along the x-axis to (8, 0), and up to (0, 8) on the y-axis. The region forms a right triangle by connecting these points with a red line. **Correct Selection:** - The correct graph is represented in option **D**, marked with a check. The vertices of the region that describe the possible inventory of houses are (0, 0), (8, 0), and (0, 8). **Answer Input:** The vertices of the region that describes the possible inventory of houses are **(0, 0), (8, 0), (0, 8)**. (Type ordered pairs. Use a comma to separate answers as needed.) ---
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