Two-Variable Linear Equations The tiles that Bruce used were each 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 (sq. ft.)
9 1
18 2
27 3
Bruce and Felicia want to know whose tiles cover the most area per tile.
Part A
Write an equation representing the area Bruce covered, y, in terms of the number of tiles he used, x.

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

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Part C
The person whose equation has the greater unit rate is the person whose tiles cover the most area per tile. Whose equation has the greater unit rate?

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Part D
Using the slope-intercept program, enter the slope and the y-intercept for Bruce’s equation. Click Save Line, and then enter the slope and y-intercept for Felicia’s equation. Paste a screen shot of the image here.

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Part E
Which line is steeper, Bruce’s or Felicia’s? Whose slope is greater? Does this match the comparison from Part C?

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Part F
What does the greater unit rate, or slope, mean in terms of the situation? What can you conclude from this?

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