Final answer:
The relationship between x and y is represented by the equation y = 4x + 1.
Step-by-step explanation:
Jeremiah needs 42 tiles to cover the first 2.4 feet of the hallway, we can use this information to write the equation.
The relationship between x and y can be represented by the equation: y = 4x + 1.
Additionally, let x represent the number of feet covered by each tile, and y represent the total number of tiles needed.
We can set up a proportion: 2.4 feet / x feet = 42 tiles / 1 tile.
Cross multiplying, we get 2.4x = 42, which simplifies to x = 17.5.
So, each tile covers 17.5 feet.
Substituting the value of x into the equation y = 4x + 1, we can find the total number of tiles needed:
y = 4(17.5) + 1 = 71.
Therefore, Jeremiah needs 71 tiles to cover the entire hallway.