### 10.1 Health & Fitness

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• 1. Calculating a Woman's Ideal Weight

In 1983, Dr. J.D. Robinson published the following formula for ideal weight.

Men:

Women:

Weight = 115 pounds + 4 pounds per inch over 5 feet

Weight = 108 pounds + 3.75 pounds per inch over 5 feet

Use the formula to find the ideal weight of a woman who is 5 feet 2 inches tall. (See Example 1.)

• Worked-Out Solution

Use the formula to find the woman's ideal weight.

The woman's ideal weight is 115.5 pounds.

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```  _____     _____     _____     ______    ______
/  ___||  |  ___||  /  ___||  /_   _//  /_   _//
| // __    | ||__   | // __     -| ||-     | ||
| \\_\ ||  | ||__   | \\_\ ||   _| ||_    _| ||
\____//   |_____||  \____//   /_____//  /__//
`---`    `-----`    `---`    `-----`   `--`

```
Ron Larson (author)8 years ago |
I know what you mean. The last time I was anywhere near my ideal weight, I was probably 16 years old.
0
Guest   8 years ago |
I guess I should be 7' 6".
0
• 2. Calculating a Man's Ideal Weight

In 1983, Dr. J.D. Robinson published the following formula for ideal weight.

Men:

Women:

Weight = 115 pounds + 4 pounds per inch over 5 feet

Weight = 108 pounds + 3.75 pounds per inch over 5 feet

Use the formula to find the ideal weight of a man who is 5 feet 3 inches tall. (See Example 1.)

These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.

```  _  __   _    _     _  __     ___     _____
| |/ // | || | ||  | |/ //   / _ \\  |  __ \\
| ' //  | || | ||  | ' //   | / \ || | |  \ ||
| . \\  | \\_/ ||  | . \\   | \_/ || | |__/ ||
|_|\_\\  \____//   |_|\_\\   \___//  |_____//
`-` --`   `---`    `-` --`   `---`    -----`

```
• 3. Calculating a Man's Ideal Weight

In 1983, Dr. J.D. Robinson published the following formula for ideal weight.

Men:

Women:

Weight = 115 pounds + 4 pounds per inch over 5 feet

Weight = 108 pounds + 3.75 pounds per inch over 5 feet

Use the formula to find the ideal weight of a man who is 6 feet tall. (See Example 1.)

• Worked-Out Solution

Use the formula to find the man's ideal weight.

The man's ideal weight is 163 pounds.

These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.

```  _____      ___     __   _      ___      _____
/ ____||   / _ \\  | || | ||   / _ \\   /  ___||
/ //---`'  / //\ \\ | '--' ||  / //\ \\ | // __
\ \\___   |  ___  ||| .--. || |  ___  ||| \\_\ ||
\_____|| |_||  |_|||_|| |_|| |_||  |_|| \____//
`----`  `-`   `-` `-`  `-`  `-`   `-`   `---`

```
• 4. Calculating a Woman's Ideal Weight

In 1983, Dr. J.D. Robinson published the following formula for ideal weight.

Men:

Women:

Weight = 115 pounds + 4 pounds per inch over 5 feet

Weight = 108 pounds + 3.75 pounds per inch over 5 feet

Use the formula to find the ideal weight of a woman who is 6 feet 4 inches tall. (See Example 1.)

These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.

```  ______     ___     ______      ___
/_____//   / _ \\  |      \\   / _ \\      ___
`____ `   / //\ \\ |  --  //  / //\ \\    /   ||
/___//   |  ___  |||  --  \\ |  ___  ||  | [] ||
`__ `    |_||  |_|||______// |_||  |_||   \__ ||
/_//     `-`   `-` `------`  `-`   `-`     -|_||
`-`                                         `-`
```
Guest   2 years ago |
gang gang gang gang gang gang gan
0
• 5. Calculating the Ideal Weight of a Person Shorter than 5 Feet

In 1983, Dr. J.D. Robinson published the following formula for ideal weight.

Men:

Women:

Weight = 115 pounds + 4 pounds per inch over 5 feet

Weight = 108 pounds + 3.75 pounds per inch over 5 feet

How do you think you should calculate the ideal weight of a person who is shorter than 5 feet tall? Explain your reasoning. Then find the ideal weight of a woman who is 4 feet 8 inches tall. (See Example 1.)

• Worked-Out Solution

To calculate the ideal weight of a woman who is shorter than 5 feet tall, you should subtract 3.75 pounds for every inch under 5 feet. For a man, you should subtract 4 pounds. This is because the Robinson formula gives a linear relationship between ideal weight and height.

The woman's ideal weight is 93 pounds.

These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.

```  _  _    _    _               ______    _____
| \| || | || | ||     ___    /_   _//  |__  //
|  ' || | || | ||    /   ||   -| ||-     / //
| .  || | \\_/ ||   | [] ||   _| ||_    / //__
|_|\_||  \____//     \__ ||  /_____//  /_____||
`-` -`    `---`       -|_||  `-----`   `-----`
`-`
```
• 6. Comparing Ideal Weights for Men and Women

In 1983, Dr. J.D. Robinson published the following formula for ideal weight.

Men:

Women:

Weight = 115 pounds + 4 pounds per inch over 5 feet

Weight = 108 pounds + 3.75 pounds per inch over 5 feet

Compare the ideal weights for men and women given by the Robinson formula. (See Example 1.)

These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.

```   _____   __   __   _    _     _____     _____
/ ___//  \ \\/ // | |  | ||  |  ___||  /  ___||
\___ \\   \ ` //  | |/\| ||  | ||__   | // __
/    //    | ||   |  /\  ||  | ||__   | \\_\ ||
/____//     |_||   |_// \_||  |_____||  \____//
`-----`      `-`'   `-`   `-`  `-----`    `---`

```
• 7. Calculating the Body Fat Percentage and Body Mass Index of a Man

You have the following information about a man.

Weight: 160 pounds

Waist: 34 inches

Age: 21 years

Find (a) the body fat percentage and (b) the body mass index for the man. (See Example 2.)

• Worked-Out Solution
1. Using a spreadsheet, you can see that the man's body fat percentage is about 21.0%.

2. Use the formula for body mass index to find the man's body mass index.

The man's body mass index is about 26.94.

These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.

```  _  _      ___      ______   __   __    _  _
| \| ||   / _ \\   /_   _//  \ \\/ //  | \| ||
|  ' ||  / //\ \\  `-| |,-    \ ` //   |  ' ||
| .  || |  ___  ||   | ||      | ||    | .  ||
|_|\_|| |_||  |_||   |_||      |_||    |_|\_||
`-` -`  `-`   `-`    `-`'      `-`'    `-` -`

```
• 8. Calculating the Body Fat Percentage and Body Mass Index of a Woman

You have the following information about a woman.

Weight: 125 pounds

Wrist: 4.5 inches

Waist: 24 inches

Hips: 30 inches

Forearm: 7 inches

Age: 18 years

Find (a) the body fat percentage and (b) the body mass index for the woman. (See Example 2.)

These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.
```  _____    _    _    _____     __   __   ______