Four students, Amy, Jacob, Rita, and Leo, plotted the point (−17/4, −2.5) . Their graphs are shown here. Whose graph is correct? Responses Jacob Jacob - no response given Amy Amy - no response given Rita Rita - no response given Leo

Answer 1

To determine whose graph is correct, we need to check where the point \((-17/4, -2.5)\) is located on a Cartesian coordinate system.

1. Convert the x-coordinate: \(-17/4\) can be calculated: \[ -17/4 = -4.25 \] Therefore, the x-coordinate is \(-4.25\).

2. Check the y-coordinate: The y-coordinate is already given as \(-2.5\).

3. Plot the point: The point to plot is \((-4.25, -2.5)\).

4. Locate Quadrants:

   • The x-coordinate \(-4.25\) is in the left half of the Cartesian plane (Quadrants II and III).
   • The y-coordinate \(-2.5\) is in the lower half of the plane (Quadrant III).

Thus, the point \((-4.25, -2.5)\) is located in Quadrant III.

To determine whose graph correctly places the point, you would compare this location with the graphs given by Amy, Jacob, Rita, and Leo. The graph that correctly plots the point in Quadrant III corresponds to the correct answer.

If you can provide the details of each student's plot, I can help you determine who plotted the point correctly!