At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Ask your questions and receive precise answers from experienced professionals across different disciplines. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Let's analyze the problem step-by-step to determine whose tiles cover the most area per tile.
### Bruce's Tiles
1. Information Given:
- Each tile used by Bruce covers [tex]\(\frac{1}{4}\)[/tex] of a square foot.
2. Calculation:
- The area per tile for Bruce's tiles is [tex]\(\frac{1}{4} = 0.25\)[/tex] square feet per tile.
### Felicia's Tiles
1. Information Given:
- The table lists the number of tiles used by Felicia and the corresponding total area covered:
[tex]\[ \begin{array}{|c|c|} \hline Number of Tiles & Area Covered (sq ft) \\ \hline 6 & 1 \\ \hline 12 & 2 \\ \hline 18 & 3 \\ \hline \end{array} \][/tex]
2. Calculating the Area per Tile:
We will use the data to determine the area per tile. Notice that the relationship between the number of tiles and the total area covered is consistent.
- For 6 tiles, the area covered is 1 square foot.
[tex]\[ \text{Area per tile} = \frac{\text{Total Area}}{\text{Number of Tiles}} = \frac{1 \text{ sq ft}}{6 \text{ tiles}} = \frac{1}{6} \approx 0.1667 \text{ sq ft per tile} \][/tex]
- For 12 tiles, the area covered is 2 square feet.
[tex]\[ \text{Area per tile} = \frac{2 \text{ sq ft}}{12 \text{ tiles}} = \frac{1}{6} \approx 0.1667 \text{ sq ft per tile} \][/tex]
- For 18 tiles, the area covered is 3 square feet.
[tex]\[ \text{Area per tile} = \frac{3 \text{sq ft}}{18 \text{ tiles}} = \frac{1}{6} \approx 0.1667 \text{ sq ft per tile} \][/tex]
Since the area per tile remains consistent across the different data points, we conclude that the area covered by each of Felicia's tiles is:
[tex]\[ \frac{1}{6} \approx 0.1667 \text{ sq ft per tile} \][/tex]
### Comparison
Now we compare the area covered per tile by Bruce and Felicia.
- Bruce's tiles cover [tex]\(0.25\)[/tex] square feet per tile.
- Felicia's tiles cover [tex]\(0.1667\)[/tex] square feet per tile.
### Conclusion
Since [tex]\(0.25\)[/tex] square feet per tile (Bruce's tiles) is greater than [tex]\(0.1667\)[/tex] square feet per tile (Felicia's tiles), Bruce's tiles cover more area per tile. Therefore, Bruce has the tiles that cover the most area per tile.
### Bruce's Tiles
1. Information Given:
- Each tile used by Bruce covers [tex]\(\frac{1}{4}\)[/tex] of a square foot.
2. Calculation:
- The area per tile for Bruce's tiles is [tex]\(\frac{1}{4} = 0.25\)[/tex] square feet per tile.
### Felicia's Tiles
1. Information Given:
- The table lists the number of tiles used by Felicia and the corresponding total area covered:
[tex]\[ \begin{array}{|c|c|} \hline Number of Tiles & Area Covered (sq ft) \\ \hline 6 & 1 \\ \hline 12 & 2 \\ \hline 18 & 3 \\ \hline \end{array} \][/tex]
2. Calculating the Area per Tile:
We will use the data to determine the area per tile. Notice that the relationship between the number of tiles and the total area covered is consistent.
- For 6 tiles, the area covered is 1 square foot.
[tex]\[ \text{Area per tile} = \frac{\text{Total Area}}{\text{Number of Tiles}} = \frac{1 \text{ sq ft}}{6 \text{ tiles}} = \frac{1}{6} \approx 0.1667 \text{ sq ft per tile} \][/tex]
- For 12 tiles, the area covered is 2 square feet.
[tex]\[ \text{Area per tile} = \frac{2 \text{ sq ft}}{12 \text{ tiles}} = \frac{1}{6} \approx 0.1667 \text{ sq ft per tile} \][/tex]
- For 18 tiles, the area covered is 3 square feet.
[tex]\[ \text{Area per tile} = \frac{3 \text{sq ft}}{18 \text{ tiles}} = \frac{1}{6} \approx 0.1667 \text{ sq ft per tile} \][/tex]
Since the area per tile remains consistent across the different data points, we conclude that the area covered by each of Felicia's tiles is:
[tex]\[ \frac{1}{6} \approx 0.1667 \text{ sq ft per tile} \][/tex]
### Comparison
Now we compare the area covered per tile by Bruce and Felicia.
- Bruce's tiles cover [tex]\(0.25\)[/tex] square feet per tile.
- Felicia's tiles cover [tex]\(0.1667\)[/tex] square feet per tile.
### Conclusion
Since [tex]\(0.25\)[/tex] square feet per tile (Bruce's tiles) is greater than [tex]\(0.1667\)[/tex] square feet per tile (Felicia's tiles), Bruce's tiles cover more area per tile. Therefore, Bruce has the tiles that cover the most area per tile.
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
