Final answer:
By using the given equation y=4x and substituting x with 4, we calculate that Xavier can clean 16 square yards of carpet with 4 quarts of cleaning solution.
Step-by-step explanation:
The student is asking about a proportional relationship defined by the equation y=4x, where x represents the amount of cleaning solution in quarts, and y represents the area of carpet cleaned in square yards.
To find out how many square yards of carpet Xavier cleans with 4 quarts of cleaning solution, we simply substitute 4 for x in the equation and solve for y.
y = 4 × x
y = 4 × 4 = 16
Therefore, with 4 quarts of cleaning solution, Xavier can clean 16 square yards of carpet.