Concept explainers
a.
To find: One model for the ideal body weight W for men (in kilograms) as a function of height h (in inches) is given by the function.
a. What is the ideal weight of a 6-foot male?
a.
Answer to Problem 91AYU
Solution:
For Men:
a.The ideal weight of a 6 − foot male is
For Women:
a.The ideal weight of a 6 − foot female is
Explanation of Solution
Given:
The ideal body weight W for men as a height function.
Calculation:
a. Given the ideal weight of a 6-foot male.
i.e.,
b.
To find: One model for the ideal body weight W for men (in kilograms) as a function of height h (in inches) is given by the function.
b. Express the height h as a function of weight W.
b.
Answer to Problem 91AYU
Solution:
For Men:
b.The height h as a function of weight W,
For Women:
b.The height h as a function of weight W,
Explanation of Solution
Given:
The ideal body weight W for men as a height function
Calculation:
b.We can express h as a function of weight W.
Given
c.
To find: One model for the ideal body weight W for men (in kilograms) as a function of height h (in inches) is given by the function.
c. Verify that h = h(W) is the inverse of W = W(h) by showing that h(W(h)) = h and W(h(w)) = W .
c.
Answer to Problem 91AYU
Solution:
For Men:
c.Verified that
For Women:
c.Verified that
Explanation of Solution
Given:
The ideal body weight W for men as a height function
Calculation:
c.Verify
Similarly, we can prove
d.
To find: One model for the ideal body weight W for men (in kilograms) as a function of height h (in inches) is given by the function.
d. What is the height of a male who is at his ideal weight of 80 kilograms? [Note: The ideal body weight W for women (in kilograms) as a function of height h (in inches) is given by W(h) = 45.5 + 2.31h - 602.]
d.
Answer to Problem 91AYU
Solution:
For Men:
d.
For Women:
d.
Explanation of Solution
Given:
The ideal body weight W for men as a height function
Calculation:
d.The height of a male who is at his ideal weight of 80 kilograms as.
We know that
- Given W = 80 kilograms.
Therefore,
Chapter 5 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Glencoe Math Accelerated, Student Edition
Precalculus Enhanced with Graphing Utilities (7th Edition)
Precalculus (10th Edition)
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