To solve the equation [tex]\( 4s = t + 2 \)[/tex] for [tex]\( s \)[/tex], we need to isolate [tex]\( s \)[/tex] on one side of the equation. Here is a step-by-step solution:
1. Start with the original equation:
[tex]\[
4s = t + 2
\][/tex]
2. To isolate [tex]\( s \)[/tex], divide both sides of the equation by 4:
[tex]\[
s = \frac{t + 2}{4}
\][/tex]
Therefore, the equation that is equivalent to [tex]\( 4s = t + 2 \)[/tex] is:
[tex]\[
s = \frac{t + 2}{4}
\][/tex]
Hence, the correct option is:
[tex]\[
S = \frac{t+2}{4}
\][/tex]
