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.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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A: Linear equations

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

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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