Parents often wonder, usually out of sheer curiosity, how tall their child will be as an adult. When a child has a medical condition or appears to be growing abnormally, the need to under-stand his or her growth can be important. One early method involved simply doubling a child's height at age 2. This gave very inaccurate results, especially for girls. As a result, many better methods have been developed to try to accurately predict a child's eventual adult height from various factors. One simple method to predict adult height is to average the parents' heights and then add 2.5 inches if the child is a boy or subtract 2.5 inches it the child is a girl. This method can be fairly 1. accurate, but can also be as much as 5 inches above or below the child's eventual height. Write a formula or formulas to express this calculation, and clearly define any variables that you use. 2. Another method is to add the parents' heights and then add an additional 5 inches if the child is a boy or subtract 5 inches if the child is a girl. This total is then divided by 2 to predict the child's ultimate height. 3. Write a formula or formulas for this method, using variables you've already defined. 4. b. Show how these formulas are equivalent to the first ones described, or explain why they are not. 5. A third method, referred to as the "mid-parent rule." uses a weighted average of the parents' heights in which the height of the opposite-gender parent is multiplied by a factor of 12/13 before it is averaged with the other parent's height. a. Write a formula to express this calculation. b. Is it equivalent to the first two formulas? Explain fully.
Parents often wonder, usually out of sheer curiosity, how tall their child will be as an adult. When a child has a medical condition or appears to be growing abnormally, the need to under-stand his or her growth can be important. One early method involved simply doubling a child's height at age 2. This gave very inaccurate results, especially for girls. As a result, many better methods have been developed to try to accurately predict a child's eventual adult height from various factors. One simple method to predict adult height is to average the parents' heights and then add 2.5 inches if the child is a boy or subtract 2.5 inches it the child is a girl. This method can be fairly 1. accurate, but can also be as much as 5 inches above or below the child's eventual height. Write a formula or formulas to express this calculation, and clearly define any variables that you use. 2. Another method is to add the parents' heights and then add an additional 5 inches if the child is a boy or subtract 5 inches if the child is a girl. This total is then divided by 2 to predict the child's ultimate height. 3. Write a formula or formulas for this method, using variables you've already defined. 4. b. Show how these formulas are equivalent to the first ones described, or explain why they are not. 5. A third method, referred to as the "mid-parent rule." uses a weighted average of the parents' heights in which the height of the opposite-gender parent is multiplied by a factor of 12/13 before it is averaged with the other parent's height. a. Write a formula to express this calculation. b. Is it equivalent to the first two formulas? Explain fully.
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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Parents often wonder, usually out of sheer curiosity, how tall their child will be as an adult. When a child
has a medical condition or appears to be growing abnormally, the need to under-stand his or her growth
can be important. One early method involved simply doubling a child's height at age 2. This gave very
inaccurate results, especially for girls. As a result, many better methods have been developed to try to
accurately predict a child's eventual adult height from various factors.
1. One simple method to predict adult height is to average the parents' heights and then add 2.5
inches if the child is a boy or subtract 2.5 inches it the child is a girl. This method can be fairly
accurate, but can also be as much as 5 inches above or below the child's eventual height. Write
a formula or formulas to express this calculation, and clearly define any variables that you use.
2. Another method is to add the parents' heights and then add an additional 5 inches if the child is
a boy or subtract 5 inches if the child is a girl. This total is then divided by 2 to predict the child's
ultimate height.
3. Write a formula or formulas for this method, using variables you've already defined.
4.
b. Show how these formulas are equivalent to the first ones described, or explain why they are
not.
5. A third method, referred to as the "mid-parent rule." uses a weighted average of the parents'
heights in which the height of the opposite-gender parent is multiplied by a factor of 12/13
before it is averaged with the other parent's height.
a. Write a formula to express this calculation.
b. Is it equivalent to the first two formulas? Explain fully.
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