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 scatter - plot. explain why a logarithmic function was used to model the data. choose the correct answer below. a. the data increase rapidly and then begin to level off. 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 at a steady rate.

Explanation:

Logarithmic functions are often used to model data that initially increase rapidly and then level - off. As the input (age in this case) increases, the output (percentage of adult brain) grows quickly at first but then the rate of growth slows down and approaches a limit. This behavior matches the description in option A.

Answer:

A. The data increase rapidly and then begin to level off.