To find the correct expression that describes Michael's score on his math quiz based on the given information, let's understand the given relationship step by step.
The problem states:
- Michael's score on the math quiz was 8 more than one-half of his score on his science quiz.
- Let [tex]\( s \)[/tex] represent Michael's score on the science quiz.
We need to translate this statement into a mathematical expression.
1. One-half of his score on the science quiz: This can be expressed as [tex]\(\frac{s}{2}\)[/tex].
2. 8 more than one-half of his score on the science quiz: This means we add 8 to [tex]\(\frac{s}{2}\)[/tex].
Combining these two observations, Michael's score on the math quiz can be expressed as:
[tex]\[ \frac{s}{2} + 8 \][/tex]
Now let’s compare this expression with the given options:
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]
From the above comparison, it's clear that the correct expression is given in option A:
[tex]\[ \frac{s}{2} + 8 \][/tex]
Thus, the answer is:
A. [tex]\(\frac{s}{2} + 8\)[/tex]
