The percentage of adult height attained by a girl who is x years old can be modeled by
f(x)=62+35log(x−4)
where x represents the girls age (from 5 to 15) and f(x) represents the percentage of her adult height. Use the function to solve. Round answers to the nearest tenth of a percent. Approximately what percentage of her adult height has a girl attained at age 13?

Respuesta :

Answer:

The girl attained at age 13 has attained 95.4% of adult height.

Step-by-step explanation:

We are given the following in the question:

[tex]f(x)=62+35 \log(x-4)[/tex]

Here, x is the girls age from 5 to 15 and f(x) represents the percentage of her adult height.

We have to approximate percentage of her adult height has a girl attained at age 13.

We put x = 13 in the above equation:

[tex]f(13)=62+35 \log(13-4)\\f(13) = 62+35 \log(9)\\f(13) = 95.4[/tex]

Thus, a girl attained at age 13 has attained 95.4% of adult height.

At age of 13 , girl attained 95.4 % of her adult height.

Since, The percentage of adult height attained by a girl is represented by a function.

where x represents the girl age.

        [tex]f(x)=62+35log(x-4)[/tex]

To find percentage of her adult height has a girl attained at age 13

Substitute x= 13 in above equation.

     [tex]f(13)=62+35log9\\\\f(13)=62+33.39\\\\f(13)=95.39[/tex]

Therefore, At age of 13 , girl attained 95.4 % of her adult height.

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