Final answer:
To determine the maximum number of homes that Latrell Roofing Service can build and still have 6 boxes of shingles left, you would need information about the number of boxes used per home. The equation xy + 6 = total number of boxes of shingles can be used to solve for the maximum number of homes.
Step-by-step explanation:
To determine the maximum number of homes that Latrell Roofing Service can build and still have 6 boxes of shingles left, you need to know how many boxes of shingles are needed per home. Let's assume that each home requires x boxes of shingles. If Latrell Roofing Service can build y homes, the equation to represent the total number of boxes used would be: xy + 6 = total number of boxes of shingles. To find the maximum number of homes, we want to find the largest possible value of y that still results in 6 boxes of shingles left. You would need specific information about the number of boxes used per home to solve the equation and determine the maximum number of homes.