For BOTH Bruce and Felicia, graph a line to represent y, the area each person covered using x tiles. The tiles that Bruce used were each 1/4 of a square foot in area. The table shows the area covered by Felicia’s tiles in terms of the number of tiles used.

Number of tiles Area covered
6 1
12 2
18 3
Bruce and Felicia want to know whose tiles cover the most area per tile.

We have to write an equation which represents the area of Felicia covered y in terms of the number of tiles she used.

Let x= Number of tiles

y=Area  covered by  Felicia's tile

The ratio of x and y remains constant.Therefore, it is direct proportion .

Equation of direction proportion is given by

Where

k=The value of ratio of x and y

x and y are variables

We have k=9

Substitute the values in the equation

Then, we get

This is required equation which representing the area of Felicia covered y in terms of the number of tile she used x.

Step-by-step explanation:

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.