A graph with a region showing the possible combinations of males and females in a team is shown.
It is required to use the graph to determine if the given combinations can be present.
To do this, write the given combinations as coordinate points (m,f) and check if the points fall in the shaded region of the graph.
Let's start with the first combination m=4, f=4.
Rewriting this as a coordinate point gives (4,4).
Notice that the point (4,4) does not lie in the shaded region of the graph, it follows that this combination of males and females cannot be present.
Hence, the choice should be No.
Check for m=3, f=4, which gives the coordinate point, (3,4).
The point (3,4) lies in the shaded region. Hence, the combination can be present.
The choice should be Yes here.
Check for m=2, f=5, which gives the coordinate point, (2,5).
The point (2,5) falls in the shaded region. Hence, the combination can be present.
The choice should be Yes here.
Check for m=2, f=3, which gives the coordinate point, (2,3).
The point (2,3) falls in the shaded region. Hence, the combination can be present.
The choice should be Yes here.
Check for m=7, f=2, which gives the coordinate point, (7,2).
The point (7,2) does not lie in the shaded region of the graph, it follows that this combination of males and females cannot be present.
Hence, the choice should be No.
Check for m=1, f=7, which gives the coordinate point, (1,7).
The point (1,7) does not lie in the shaded region of the graph, it follows that this combination of males and females cannot be present.
Hence, the choice should be No.
Check for m=1, f=3, which gives the coordinate point, (1,3).
The point (1,3) falls in the shaded region. Hence, the combination can be present.
The choice should be Yes here.