To find the missing value in the table, we need to use the given equation [tex]\( r = 3c + 5 \)[/tex] and the provided [tex]\( c \)[/tex] value of 12.
Let's apply the equation step-by-step:
1. Substitute [tex]\( c = 12 \)[/tex] into the equation [tex]\( r = 3c + 5 \)[/tex].
[tex]\[
r = 3(12) + 5
\][/tex]
2. Calculate [tex]\( 3 \times 12 \)[/tex]:
[tex]\[
3 \times 12 = 36
\][/tex]
3. Add 5 to the result from step 2:
[tex]\[
r = 36 + 5
\][/tex]
4. Sum the numbers:
[tex]\[
r = 41
\][/tex]
So, the missing value in the table when [tex]\( c = 12 \)[/tex] is 41.
Thus, the answer is:
[tex]\[
41
\][/tex]
