Let's carefully analyze the given equation and transform it step by step to find an equivalent equation.
The given equation is:
[tex]\[ 4s = t + 2 \][/tex]
We want to isolate the variable [tex]\( s \)[/tex] on one side of the equation. To do that, we need to get rid of the coefficient 4 that is multiplying [tex]\( s \)[/tex]. We can do this by dividing both sides of the equation by 4.
Here's the step-by-step process:
1. Start with the given equation:
[tex]\[ 4s = t + 2 \][/tex]
2. Divide both sides of the equation by 4 to isolate [tex]\( s \)[/tex]:
[tex]\[ s = \frac{t + 2}{4} \][/tex]
So, the equation equivalent to [tex]\( 4s = t + 2 \)[/tex] is:
[tex]\[ s = \frac{t + 2}{4} \][/tex]
Therefore, among the given options, the correct equivalent equation is:
[tex]\[ s = \frac{t + 2}{4} \][/tex]
Option:
[tex]\[ s = \frac{t+2}{4} \][/tex]
