The tiles that Bruce used were each [tex]\frac{1}{4}[/tex] of a square foot in area. The table shows the area covered by Felicia's tiles in terms of the number of tiles used:

\begin{tabular}{|c|c|}
\hline
Number of Tiles & Area Covered (sq ft) \\
\hline
6 & 1 \\
12 & 2 \\
18 & 3 \\
\hline
\end{tabular}

Bruce and Felicia want to know whose tiles cover the most area per tile.

Part A

Write an equation representing the area Bruce covered, [tex]y[/tex], in terms of the number of tiles he used, [tex]x[/tex].



Answer :

To determine the equation representing the area Bruce covered, \( y \), in terms of the number of tiles he used, \( x \), let's consider the details given:

Each tile that Bruce used covers \(\frac{1}{4}\) of a square foot.

We need to express the total area \( y \) he covered as a function of the number of tiles \( x \) he used.

1. Recall that each of Bruce's tiles covers \(\frac{1}{4}\) square foot.
2. Therefore, if Bruce uses \( x \) tiles, the total area \( y \) he covers is:

[tex]\[ y = \left(\frac{1}{4}\right) \times x \][/tex]

Thus, the equation representing the area Bruce covered in terms of the number of tiles he used is:
[tex]\[ y = \frac{1}{4} x \][/tex]

This equation tells us that for each tile Bruce uses, the covered area increases by [tex]\(\frac{1}{4}\)[/tex] of a square foot.