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. This is a 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.
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. This is a 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.
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...
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Transcribed Image Text: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.
This is a 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.
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