Graph Analysis Challenge: Identify the Corresponding Table

Question

Given the following graph, determine which table corresponds to the following table

–3–3–3–2–2–2–1–1–1111222333444555666777888999101010111111121212131313141414151515161616171717–1–1–1111222333444555666777888999101010000

Video Solution

Solution Steps

00:00 Choose the appropriate table
00:03 We want to find points on the graph, and place them in the table
00:07 We'll take a specific X value and find the corresponding Y value according to the graph
00:15 We'll place each point in the table
00:20 And this is the solution to the question

Step-by-Step Solution

To determine which table corresponds to the given graph, we'll follow these steps:

  • Extract coordinates from the graph that clearly intersect grid lines for precision.

  • Compare these extracted coordinates with the provided tables to find a match.

  • Ensure consistency across multiple points.

Let's extract some sample points from the graph:
- Observing the graph visually, we can see the following intersection points: (0, 6), (3, 3), and (6, 0). These clearly depict the trend visible in the linear graph.

We will compare these extracted points to the tables:

  • Choice 1: Points are (-5, 0), (-4, 1), (-3, 2). This does not match our points.

  • Choice 2: Points are (8, 10), (6, 6), (4, 2). This does not match our points.

  • Choice 3: Points are (0, 6), (3, 3), (6, 0). This matches exactly with the points from the graph.

  • Choice 4: Points are (0, 0), (2, 3), (4, 2). This does not match our points.

Therefore, the table that matches the graph is the one in Choice 3.

As a result, the solution is that the correct table is from choice 3, which includes the points (0, 6), (3, 3), and (6, 0).

Answer

XY036630