The mean of the numbers 0, x + 2, 3x + 6, and 4x + 8 is 4, find the value of x.
A
\(\frac{2}{5}\)
B
\(\frac{2}{9}\)
C
0
D
4
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Mean = \(\frac{(0 + x + 2 + 3x + 6 + 4x + 8)}{4}\) = 4.
Simplify numerator: 8x + 16.
So \(\frac{(8x + 16)}{4}\) = 4.
8x + 16 = 16.
8x = 0.
x = 0.
Source: Myschool Past Questions Archive (Record #74154)