Question

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.)

Answer 1

62% and 161.29%

Explanation:

Given that 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) When age =5, we have x=5

`f(5) = 62+35log(5-4) = 62+35log 1\\= 62+0 =62`

So height when age is 5 is 62 %

B) The approximate of her adult height is

`(100)/(62) \\=161.29%`