For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.

Use the problem situation below to answer Part A, Part B, and Part C.

When using a lever (like the one shown below), the weight of an item varies inversely with the item's distance from the center of the lever.

Part A: Write a formula to describe the situation, using the variables w for the weight of the item and d for the distance of the item from the center of the lever.

Part B: A box that weighs 40 lb. is placed 17 in from the center. Find the value of k, and write the explicit formula using the same variables from Part A.

Part C: If you want to balance the weight of the 40 lb. box, which is 17 in from the center of the lever, how far from the center of the lever should you place a 50 lb. box? Show your work to support your answer.