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If y = 2x + 1, what is the arithmetic mean of 2x, 2x, y, and 3y, in terms of x?
  1. 2x
  2. 2x + 1
  3. 3 x + 1
  4. None of the above
Explanation
Answer: C - the arithmetic mean of 2x, 2x, y, and 3y, where y = 2x +1 is 3x + 1.

Solution

The arithmetic mean (average) is equal to the sum of the items divided by the number of items.

Average = (2x + 2x + y + 3y)/4 = (4x + 4y)/4 = x + y

Substituting 2x +1 for y: x + (2x + 1) = 3x + 1


Check (assume x = 3): (6 + 6 + 7 + 3(7))/4= 10 = 3(3)+1
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