Question

The percentage of adult height attained by girls who are x years old can be modeled by f​(x​)equals 62 plus 35 log (x minus 4 )where x represents the​ girl's age​ (from 5 to​ 15) and f​(x​) represents the percentage of her adult height. Use this function to determine approximately what percent of her adult height girls are at age 15.

Answer 1

`98.45\%`

Explanation:

The percentage of adult height attained by girls who are x years old can be modeled by:
`f(x)= 62 +35 log (x -4 )`

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

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

If a girl's age, x=15

Then, from f(x), the percentage of her adult height:

`f(15)= 62 +35 log (15 -4 )\\=62+35log11\\=98.45\%`

The percentage of adult height attained by a girl who is 15 years old is approximately 98.45%.