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.
