Final answer:
The equation that models the relationship between the cost of fabric and the length in yards is y = 2.2x. Hence the correct answer is option B
Step-by-step explanation:
To model this situation, we need to find the equation that represents the relationship between the cost of fabric and the length in yards. Since the cost is directly proportional to the length, we can express the equation as y = kx, where y represents the cost and x represents the length. We can find the value of k by using the given information: 5 yards of fabric cost $11. Substituting these values into the equation, we have 11 = 5k. Solving for k, we get k = 11/5 = 2.2. Therefore, the equation that models this situation is y = 2.2x, which corresponds to option B.