To complete the table using the equation [tex]\( c = 2.54n \)[/tex], where [tex]\( c \)[/tex] represents the length in centimeters and [tex]\( n \)[/tex] represents the length in inches, follow these steps for each value:
1. Convert 10 inches to centimeters:
[tex]\[
c = 2.54 \times 10
\][/tex]
[tex]\[
c = 25.4 \text{ cm}
\][/tex]
2. Convert 8 inches to centimeters:
[tex]\[
c = 2.54 \times 8
\][/tex]
[tex]\[
c = 20.32 \text{ cm}
\][/tex]
3. Convert [tex]\( -3 \frac{1}{2} \)[/tex] inches (which is [tex]\(-3.5\)[/tex] inches) to centimeters:
[tex]\[
c = 2.54 \times -3.5
\][/tex]
[tex]\[
c = -8.89 \text{ cm}
\][/tex]
Now, we can fill in the table as follows:
[tex]\[
\begin{tabular}{|c|c|}
\hline
Length (in) & Length (cm) \\
\hline
10 & 25.4 \\
\hline
8 & 20.32 \\
\hline
-3 \frac{1}{2} & -8.89 \\
\hline
\end{tabular}
\][/tex]
So, the completed table should be:
[tex]\[
\begin{tabular}{|c|c|}
\hline
Length (in) & Length (cm) \\
\hline
10 & 25.4 \\
\hline
8 & 20.32 \\
\hline
-3 \frac{1}{2} & -8.89 \\
\hline
\end{tabular}
\][/tex]
