We will see that Bruce's tiles cover more area, and Bruce's equation is:
y = (1/4 Â ft^2)*x
Finding the proportional relation.
A general proportional relation is written as:
y = k*x
Where k is the constant of proportionality.
To know how much area covers each tile of Felicia, we need to use the data in the table to get the value of k.
By taking the quotient between the difference of two y-values and two x-values on the table, we can get the constant, for example, if we use the first two we get:
[tex]k = \frac{2 ft^2 - 1ft^2}{18tiles - 9tiles} = \frac{1ft^2}{9tiles}[/tex]
That constant means that we need 9 tiles to cover 1 ft^2 this is equivalent to saying that a single tile covers (1/9) of a square feet.
Then Felicia's equation is:
Y = (1/9 ft^2)*x
Similarly, Bruce's equation will be:
y = (1/4 Â ft^2)*x
Because we know that each of Bruce's tiles covers (1/4) ft^2
From this, we can conclude that Bruce's tiles cover more area.
If you want to learn more about proportional relations, you can read:
https://brainly.com/question/12242745
