The tiles that Bruce used were each of a square foot in the area. The table shows the area covered by Felicia’s tiles in terms of the number of tiles used.

Number of Tiles Area Covered (sq. ft.)
9 1
18 2
27 3
Bruce and Felicia want to know whose tiles cover the most area per tile.

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

Write an equation representing the area Felicia covered, y, in terms of the number of tiles she used, x.

Bruce's function:

Felicia's function:

Bruce's tiles cover more area

Step-by-step explanation:

Functions

We need to compare the area covered by tile of both Bruce and Felicia. We are required to find the function y, the area covered by the number of tiles he used, x.

We know the tiles used by Bruce cover 1/4 of a square foot, this is written as:

To find the function for Felicia, we must use the data provided in the table

For example,  

For x=9 tiles, y=1 sq ft

For x=18 tiles, y=2 sq ft

If we set

We can find the value of k

Thus

Testing the constructed function with x=18 and x=27

The function is complete and accurate.

Comparing both functions we see that Bruce's tiles cover more area because