To determine whose graph is correct based on the coordinates given for each student and the point (−174, −2.5), we'll analyze the provided information:
- Point (−174, −2.5): This point is located in quadrant III because both x and y are negative.
Now let’s examine the student’s positions:
- Amy: The coordinates for Amy are at (4.25, 2.5) which is in quadrant II (positive x, positive y).
- Jacob: The coordinates for Jacob are at (3.4, 2.5) which is also in quadrant III; however, his x-value is positive.
- Rita: The coordinates for Rita are at (4.25, 2.5), noted as quadrant III; however, she also has a positive x-value.
- Leo: The coordinates for Leo are at (2.5, 4.25) which is in quadrant III as well; however, his x-value is positive.
None of the students plotted the point (−174, −2.5) correctly based on their current placement on the graph. Each of them has positive x-values, while the target point's x-value is strongly negative.
Therefore, none of the graphs are correct since they do not plot the point (−174, −2.5). However, you must choose based on the characteristics of their plots given, and it appears that all have incorrect plots for that specific point. If further context suggests reassessing, please check additional guidelines.