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Answer:
ANSWER EXPLANATION: Since the average (arithmetic mean) of two numbers is equal to the sum of the two numbers divided by 2, the equations x=
m+9
2
, y=
2m+15
2
, z=
3m+18
2
are true. The average of x, y, and z is given by
x+y+z
3
. Substituting the expressions in m for each variable (x, y, z) gives
[
m+9
2
+
2m+15
2
+
3m+18
2
]
3
This fraction can be simplified to m+7.
The final answer is B.