To determine which equation is equivalent to [tex]\(4s = t + 2\)[/tex], let's isolate [tex]\(s\)[/tex] by solving the equation step-by-step.
Given equation:
[tex]\[4s = t + 2\][/tex]
Step 1: Divide both sides of the equation by 4 to isolate [tex]\(s\)[/tex]:
[tex]\[\frac{4s}{4} = \frac{t + 2}{4}\][/tex]
Step 2: Simplify the left side of the equation:
[tex]\[s = \frac{t + 2}{4}\][/tex]
Thus, the equivalent equation is:
[tex]\[s = \frac{t + 2}{4}\][/tex]
So, the correct option is:
[tex]\[S = \frac{t+2}{4}\][/tex]
