To write an equation representing the area [tex]\( y \)[/tex] that Felicia covered in terms of the number of tiles [tex]\( x \)[/tex] she used, we first need to establish that the area [tex]\( y \)[/tex] is directly related to the number of tiles [tex]\( x \)[/tex].
Assuming each tile covers one square unit of area, the relationship between the number of tiles and the area covered can be directly stated as:
[tex]\[ \text{Area per tile} = 1 \, \text{square unit} \][/tex]
Therefore, if [tex]\( x \)[/tex] represents the number of tiles used, the total area [tex]\( y \)[/tex] covered by those tiles is given by:
[tex]\[ y = x \times \text{(Area per tile)} \][/tex]
Since the area per tile is 1 square unit, the equation simplifies to:
[tex]\[ y = x \][/tex]
Thus, the equation representing the area [tex]\( y \)[/tex] Felicia covered in terms of the number of tiles [tex]\( x \)[/tex] used is:
[tex]\[ y = x \][/tex]
This equation indicates that the area covered is equal to the number of tiles used. For example, if Felicia uses 5 tiles, the area covered will be 5 square units.
