Question

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 Felicia covered, y, in terms of the number of tiles she used, x.

Answer 1

Answer:

Step-by-step explanation:

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

$x_1=9, x_2=18, x_3=27$

$y_1=1, y_2=2,y_3=3$

$\frac{x_1}{y_1}=\frac{9}{1}=9$

$\frac{x_2}{y_2}=\frac{18}{2}=9$

$\frac{x_3}{y_3}=\frac{27}{3}=9$

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

Equation of direction proportion is given by

$\frac{x}{y}=k$

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

$\frac{x}{y}=9$

$x=9y$

$y=\frac{1}{9}x$

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