To solve this problem, we need to use the given information to rewrite the formula [tex]\( R = s + 2t \)[/tex]. We are also told that [tex]\( s \)[/tex] is three times greater than [tex]\( t \)[/tex].
Here are the steps to determine the correct form:
1. Identify the relationship between [tex]\( s \)[/tex] and [tex]\( t \)[/tex]:
We know that [tex]\( s \)[/tex] is three times greater than [tex]\( t \)[/tex]. This can be mathematically expressed as:
[tex]\[
s = 3t
\][/tex]
2. Substitute [tex]\( s \)[/tex] in the formula:
Substitute [tex]\( s \)[/tex] in the given formula [tex]\( R = s + 2t \)[/tex] with [tex]\( 3t \)[/tex]:
[tex]\[
R = 3t + 2t
\][/tex]
3. Simplify the equation:
Combine the terms involving [tex]\( t \)[/tex]:
[tex]\[
R = 5t
\][/tex]
Thus, the formula [tex]\( R \)[/tex] simplifies to [tex]\( R = 5t \)[/tex].
Therefore, the correct answer is:
[tex]\[
\boxed{B \, \, R = 5t}
\][/tex]
