Question

Plotting on a graph the relationship between the study time (hours per day) as the X variable and the number of practice problems worked as the Y variable; you notice that as X increases, Y increases but at a decreasing rate, which is why the curve becomes _______ steep as X _______.

Answer 1

You notice that as X increases, Y increases but at a decreasing rate, which is why the curve becomes less steep as X is increasing.

What happens to the graph ?

As X increases but Y increases at a decreasing rate, the curve becomes less steep.

This is because a decreasing rate of change signifies a curve that flattens out as the X-axis values increase. Imagine the curve starting out with a steep slope, then gradually becoming less and less steep as it approaches the right side of the graph.

This indicates that although the Y variable (practice problems) still increases with the X variable (study time), the rate of increase slows down.