Question

the data in the following table indicate that between the ages of 1 and 11, the human brain does not grow linearly, or steadily. a scatter - plot for the data is shown below the table. the graphing calculator screen to the right displays the percentage of an adult brain, y, for a child at age x, where 1≤x≤11. use this information to complete parts (a) through (c) below. click the icon to view the table. click the icon to view the scatterplot. a. the data increase at a steady rate. b. the data increase rapidly and then continue to increase even more rapidly. c. the data increase rapidly and then begin to decrease. d. the data increase rapidly and then begin to level off. b. use the graphing calculator screen to express the model in function notation, with numbers rounded to the nearest whole number. f(x)=30 + 30lnx (type an expression using x as the variable.) c. according to the model in part (b), what percentage of an adult size brain does a child have at age 10? a child has % of an adult size brain at age 10. (round to the nearest whole number as needed.)

Explanation:

Step1: Identify the function

The function is $f(x)=30 + 30\ln x$.

Step2: Substitute $x = 10$

We substitute $x = 10$ into the function: $f(10)=30+30\ln(10)$.
Since $\ln(10)\approx2.3026$, then $f(10)=30 + 30\times2.3026$.

Step3: Calculate the result

$30\times2.3026 = 69.078$, and $30+69.078=99.078$.
Rounding to the nearest whole - number, we get $99$.

Answer:

99