Write the following as an algebraic expression.
one half of the difference between $y$ and $4$

• A. $\frac{1}{2}y-4$
• B. $y-2$
• C. $\frac{1}{2}(y-4)$
• D. $\frac{1}{2}(y+4)$

Answer: (C)

Verified step by step guidance

1. Identify the phrase "one half of the difference between y and 4." The key parts are "one half" and "difference between y and 4."
2. Write the difference between y and 4 as an expression: \(\left(y - 4\right)\).
3. Since the problem asks for one half of this difference, multiply the difference by one half: \(\frac{1}{2} \times \left(y - 4\right)\).
4. Combine the multiplication into a single algebraic expression: \(\frac{1}{2}\left(y - 4\right)\).
5. This expression correctly represents "one half of the difference between y and 4."