Sure! Let's solve this step-by-step.
We need to express Michael's score on his math quiz based on his score on his science quiz.
Let's denote:
- Michael's score on his science quiz with [tex]\( s \)[/tex].
The problem statement tells us that Michael's score on his math quiz was 8 more than one-half of his score on his science quiz.
1. Find one-half of Michael's science quiz score:
[tex]\[
\frac{s}{2}
\][/tex]
2. Add 8 to this value to account for the '8 more' part:
[tex]\[
\frac{s}{2} + 8
\][/tex]
This gives us the expression for Michael's math quiz score.
Now let's match this with the given choices:
- A. [tex]\( \frac{s}{2} + 8 \)[/tex]
- B. [tex]\( \frac{s}{8} + 2 \)[/tex]
- C. [tex]\( \frac{1}{2} s - 8 \)[/tex]
- D. [tex]\( \frac{1}{2}(8) + s \)[/tex]
Option A, [tex]\( \frac{s}{2} + 8 \)[/tex], correctly describes the expression we derived.
Therefore, the correct answer is:
A. [tex]\( \frac{s}{2} + 8 \)[/tex]
