Certainly! Let's fill in the missing values for the table step-by-step. We'll use the information given and the known values to derive the results.
Given:
- Every square meter of ceiling requires 10.75 tiles.
- For 10 square meters, it is already known that 100 tiles are required.
Let's complete the table:
1. For 1 square meter:
- The number of tiles required for 1 square meter is 10.75.
2. For 10 square meters:
- This is already given as 100 tiles.
3. For \(a\) square meters:
- The number of tiles required is \(a \times 10.75\).
4. For an unspecified number of square meters:
- To find the number of tiles for any given number of square meters, let's consider \(n\) square meters:
- The number of tiles required for \(n\) square meters is \(n \times 10.75\).
Now, let's fill in the table with these values:
[tex]\[
\begin{array}{|c|c|}
\hline
\text{square meters of ceiling} & \text{number of tiles} \\
\hline
1 & 10.75 \\
\hline
10 & 100 \\
\hline
a & a \times 10.75 \\
\hline
n & n \times 10.75 \\
\hline
\end{array}
\][/tex]
We've now completed the table as requested, using the given information to determine the number of tiles required.