Derivatives 1: Velocity, Introduction to Derivatives Model 1: Driving to a Cabin in the Woods A family drives from their home in the city to a cabin in the woods. Before they begin, they reset the trip odometer in their car. Then, every hour they record the trip odometer reading (the total distance they have traveled). The following graph shows the results. 250 200 d (miles, 150 100 50 -N 3 * (hours) Construct Your Understanding Questions (to do in class) 1. Draw a line on the graph in Model 1 from the point at to = 0 to the point at t, = 2. a. What is the slope (m) of this line? Include units in your answer. b. Describe in words what this slope (m) tells you about the movement of the car during this time period. 2. On the graph in Model 1, draw a line segment between the points that mark the one hour during which the car was likely traveling on an interstate highway, and explain your reasoning. 3. In general, what information is conveyed by the slope (m) of a line between any two points on a distance versus time function