/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 53 An HMO pamphlet contains the fol... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

An HMO pamphlet contains the following recommended weight for women: "Give yourself 100 pounds for the first 5 feet plus 5 pounds for every inch over 5 feet tall." Using this description, what height corresponds to a recommended weight of 135 pounds?

Short Answer

Expert verified
The height that corresponds to a recommended weight of 135 pounds is 67 inches.

Step by step solution

01

Understanding the Problem

From the problem, we have a fixed weight of 100 pounds for the first 5 feet. Each additional inch over 5 feet adds 5 pounds. Hence, the total weight (W) can be expressed as W = 100 + 5(h-60), where h is the height in inches (We converted 5 feet to inches). Our goal is to find the height when W = 135 pounds.
02

Setup Linear Equation

Substituting W = 135 into the equation, we have 135 = 100 + 5(h-60). This is a linear equation which we can solve for h.
03

Solve for Variable h

By simplification, we subtract 100 from each side: 35 = 5(h-60). Dividing both sides by 5 gives 7 = h - 60. Finally, by adding 60 to both sides, we get h = 67.
04

Interpretation of Result

Therefore, the height that corresponds to a recommended weight of 135 pounds is 67 inches.

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