Answer :
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]
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]
