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Aleks
2 months ago
6

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 o

f 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.
Mathematics
1 answer:
zzz [12.3K]2 months ago
6 0

Response:

Step-by-step explanation:

We need to form an equation that illustrates the area that Felicia has covered, denoted as y, in relation to the number of tiles she utilized, represented by x.

Let x= Number of tiles

y=Area occupied by Felicia's tiles

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 relationship between x and y is constant. Hence, it follows a direct proportion.

The equation for direct proportion is shown as

\frac{x}{y}=k

Where

k=The value of the ratio of x and y

x and y are variable factors

Here, we have k=9

Substituting the known values into the equation

leads us to

\frac{x}{y}=9

x=9y

y=\frac{1}{9}x

This represents the necessary equation depicting the area Felicia covered, y, in terms of the number of tiles utilized, x.

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