Answer:

b = (T - a - c - d) / 3
Step-by-step explanation:
Let T be the total number of points required to advance.
a, c and d are points scored in the local matches, and b is the number of points scored in the district match. If b is worth 3 times as much as the other matches, the total number of points is given by:

Isolate b in order to find out how many points they need in the district match:

They need to score (T - a - c - d)/3, in the district match in order to win.
The domain is the x-axis and the range is the y-axis.
So the range of the function would be the Y values given.
So the range would be (3, 6, 9, 12, 15).
5 C + 3 < 28 a - 4 C - 214
a>9c +31
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28. 4
C >28a-21
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9