The equation [tex]r=3c+5[/tex] represents the values shown in the table below.

\begin{tabular}{|c|c|c|c|c|}
\hline
[tex]$c$[/tex] & 6 & 8 & 12 & 18 \\
\hline
[tex]$r$[/tex] & 23 & 29 & [tex]$?$[/tex] & 59 \\
\hline
\end{tabular}

What is the missing value in the table?

A. 12
B. 35
C. 41
D. 44



Answer :

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]