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The percentage of adult height attained by girls who are x years old can be modeled by f​(x​)=62+35log(x-4)where x represents the​ girl's age​ (from 5 to​ 15) and f​(x​) represents the percentage of her adult height. A) Use this function to determine approximately what percent of her adult height girls are at age 5 . B) The approximate percent of her adult height is nothing ​%. ​ (Round to two decimal​ places.)

Respuesta :

Answer:

62% and 161.29%

Step-by-step explanation:

Given that the percentage of adult height attained by girls who are x years old can be modeled by

[tex]f​(x​)=62+35log(x-4)[/tex], where

x represents the​ girl's age​ (from 5 to​ 15) and

f​(x​) represents the percentage of her adult height

A) When age =5, we have x=5

[tex]f(5) = 62+35log(5-4) = 62+35log 1\\= 62+0 =62[/tex]

So height when age is 5 is 62 %

B) The approximate of her adult height is

[tex]\frac{100}{62} \\=161.29%[/tex]

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