Let's solve the problem step-by-step using the given values [tex]\( B = 5 \)[/tex] and [tex]\( C = 2 \)[/tex].
The formula we are given is:
[tex]\[
A = B + 3(4 - C)
\][/tex]
Step 1: Substitute [tex]\( B = 5 \)[/tex] and [tex]\( C = 2 \)[/tex] into the formula.
[tex]\[
A = 5 + 3(4 - 2)
\][/tex]
Step 2: Simplify the expression inside the parentheses ([tex]\( 4 - 2 \)[/tex]).
[tex]\[
A = 5 + 3(2)
\][/tex]
Step 3: Multiply 3 by 2.
[tex]\[
A = 5 + 6
\][/tex]
Step 4: Add 5 and 6 together.
[tex]\[
A = 11
\][/tex]
So, the value of [tex]\( A \)[/tex] is 11, which corresponds to option B.
Therefore, the correct answer is [tex]\( \boxed{11} \)[/tex].
