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The following functions represents the adult height percentage attained by a boy or girl through the course of his or her adolescence. B(x) = 29 + 48.8 log (x+1), where x represents the boy's age (from 5 to 15) and B(x) represents the percentage of his adult height. G(x) = 62 + 35 log (x-4), where x represents the girl's age (from 5 to 15) and G(x) represents the percentage of her adult height. 1. Determine the value of B (4), B (2), and G (10) and determine its meaning. 2. At what age has a girl attained 80% of her adult height? Show the law of logarithms and exponents used in solving the problem. 3. At what age, rounded to the nearest year, has a boy attained 75% of his adult height? Show the law of logarithms and exponents used in solving the problem.

The following functions represents the adult height percentage attained by a boy or girl through the course of his or her adolescence. B(x) = 29 + 48.8 log (x+1), where x represents the boy's age (from 5 to 15) and B(x) represents the percentage of his adult height. G(x) = 62 + 35 log (x-4), where x represents the girl's age (from 5 to 15) and G(x) represents the percentage of her adult height. 1. Determine the value of B (4), B (2), and G (10) and determine its meaning. 2. At what age has a girl attained 80% of her adult height? Show the law of logarithms and exponents used in solving the problem. 3. At what age, rounded to the nearest year, has a boy attained 75% of his adult height? Show the law of logarithms and exponents used in solving the problem.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The following functions represents the adult height percentage attained by a boy or girl through the course of his or her adolescence. B(x) = 29 + 48.8 log (x+1), where x represents the boy's age (from 5 to 15) and B(x) represents the percentage of his adult height. G(x) = 62 + 35 log (x-4), where x represents the girl's age (from 5 to 15) and G(x) represents the percentage of her adult height. 1. Determine the value of B (4), B (2), and G (10) and determine its meaning. 2. At what age has a girl attained 80% of her adult height? Show the law of logarithms and exponents used in solving the problem. 3. At what age, rounded to the nearest year, has a boy attained 75% of his adult height? Show the law of logarithms and exponents used in solving the problem.
Transcribed Image Text:The following functions represents the adult height percentage attained by a boy or girl through the course of his or her adolescence. B(x) = 29 + 48.8 log (x+1), where x represents the boy's age (from 5 to 15) and B(x) represents the percentage of his adult height. G(x) = 62 + 35 log (x-4), where x represents the girl's age (from 5 to 15) and G(x) represents the percentage of her adult height. 1. Determine the value of B (4), B (2), and G (10) and determine its meaning. 2. At what age has a girl attained 80% of her adult height? Show the law of logarithms and exponents used in solving the problem. 3. At what age, rounded to the nearest year, has a boy attained 75% of his adult height? Show the law of logarithms and exponents used in solving the problem.
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