SOLUTION: There are various formulas for calculating ideal body weight. In each of the formulas in this exercise, W is ideal body weight in kilograms, and x is height in inches above 60 in.

Question 1179673: There are various formulas for calculating ideal body weight. In each of the formulas in this exercise, W is ideal body weight in kilograms, and x is height in inches above 60 in.
Suppose one researcher gave the following formula for men:
W = 51 + 1.9x.
Suppose another researcher published a slightly different formula for men:
W = 55.2 + 1.44x.
At what height do both formulas give the same ideal body weight? Round to the nearest whole number.
Answer by CPhill(1959) (Show Source): You can put this solution on YOUR website!
Let's solve this problem step-by-step:
**1. Set the Formulas Equal:**
We want to find the height (x) where both formulas give the same ideal body weight (W). So we set the two formulas equal to each other:
51 + 1.9x = 55.2 + 1.44x
**2. Solve for x:**
* Subtract 1.44x from both sides:
51 + 0.46x = 55.2
* Subtract 51 from both sides:
0.46x = 4.2
* Divide by 0.46:
x = 4.2 / 0.46
x ≈ 9.13
**3. Round to the Nearest Whole Number:**
* x ≈ 9 inches
**4. Calculate the Height in Total Inches:**
* Remember that x is the height in inches above 60 inches.
* Total height = 60 + x
* Total height = 60 + 9 = 69 inches
**Answer:**
Both formulas give the same ideal body weight at a height of 69 inches.

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