The statement that best describes the y-intercept of Line m is A. (0,20). Therefore , A. (0,20) is correct .
The y-intercept of a line is the point where the line crosses the y-axis.
In the context of the graph, the y-axis represents the number of tuna sandwiches sold, and the x-axis represents the number of cheese sandwiches sold.
Line m in the graph has a y-intercept of (0, 20).
This means that even if the team sold no cheese sandwiches (x = 0), they would still sell 20 tuna sandwiches.
Therefore, the statement that best describes the y-intercept of Line m is A. (0,20).
The other options are not correct because:
B. (20,0): This would mean that if the team sold 20 cheese sandwiches (x = 20), they would sell no tuna sandwiches.
This is not true, as the line intersects the y-axis at (0, 20), indicating that even with no cheese sandwiches sold, there are still 20 tuna sandwiches sold.
C. (0,16): This is incorrect because the y-intercept is at (0, 20), not (0, 16).
D. (32,0): This is incorrect because the line never intersects the x-axis at (32, 0).
The x-axis represents the number of cheese sandwiches sold, and the team cannot sell a negative number of sandwiches.