QuestionThe function $g(x)=3.2 \sqrt{x}+9.8$ models the median height, $g(x)$, in inches, of children who are $x$ months of age. The graph of g is shown.
The median height is 25.5 inches. (Round to the nearest tenth of an inch.) The actual median height for children at 24 months is 25 inches. How well does the model describe the actual height?
The model describes the actual height A. very well. B. poorly. c. Use the model to find the average rate of change, in inches per month, between birth and 10 months.
The average rate of change is 1.0 inches per month. (Round to the nearest tenth.) d. Use the model to find the average rate of change, in inches per month, between 40 and 50 months.
The average rate of change is 0.2 inches per month. (Round to the nearest tenth.)
How does this compare with your answer in part (c)? How is this difference shown by the graph? A. The average rate of change is smaller. The graph is not as steep. B. The average rate of change is smaller. The graph is steeper. C. The average rate of change is larger. The graph is steeper. D. The average rate of change is larger. The graph is not as steep.