The growth rate slowing down in the graph is D. Point A. Therefore , D. Point A is correct .
In the context of a curve representing a population growth or any other variable over time, understanding the slope of the curve at different points is crucial for analyzing the growth dynamics.
The statement correctly identifies point A as the location where the curve is steepest, implying the highest growth rate.
Steeper slopes suggest more rapid changes in the variable being measured.
However, the interpretations of points B, C, and D in the statement seem to be incorrect.
At point B, the statement suggests that the slope is still increasing, indicating accelerating growth.
This would imply an increasing growth rate, not a decelerating one.
The slope increasing at point B would mean that the growth rate is actually rising.
At point C, the statement claims that the slope has become zero, suggesting that growth has stopped.
A zero slope indicates a horizontal tangent, which means that the population or variable is not changing at that specific point in time.
It doesn't necessarily imply a complete halt in growth; it could indicate a temporary pause.
At point D, the statement states that the slope is negative, indicating population decrease.
A negative slope signifies a declining trend in the variable, supporting the assertion that the population is decreasing at this point.
While the description of point A is accurate, the interpretations of points B, C, and D need clarification to accurately represent the dynamics of the curve.