Final answer:
Option A (1/8x + 1/8x) is equivalent to 1/4x because 1/8x added to itself is the same as 2/8x, which simplifies to 1/4x.
Step-by-step explanation:
The question asks which expression is equivalent to 1/4x. When we look at the provided options, we can see that option A. 1/8x + 1/8x is the correct choice. Here's why: when you add 1/8x and 1/8x together, you are essentially multiplying 1/8 by 2 because you have two of them. So 1/8x + 1/8x equals 2/8x, which simplifies to 1/4x since 2/8 simplifies to 1/4. The other options, B and C, do not incorporate the variable x, hence they cannot be equivalent to the original expression 1/4x.