A Thinking Question About Slope Over Time (2.6 # 34)

 A Thinking Question About Slope Over Time (2.6 # 34)

Here we reflect on the how a positive derivative means something is increasing, and if it is negative, something is decreasing. We can then see an overall trend that is negative is indicating an inverse relationship between the variables (one goes up and the other goes down), and a positive trend in slope has a direct relationship (they go up and down together).  Looking at this should also get your brain in thinking about parametric relationships where both the x and y are are functions of time.