Model 2: Tire Wear The car in Model 1 begins the race with new tires which have 10,000 m (10mm) of tread. The function W(u) in Graph II describes tire wear (change in tread thickness) during the race. 10000 8000 6000 4000 Tread Thickness in micrometers (um) 2000 Graph II: Tire Wear as a Function of Distance y= W(u) 200 400 600 800 1000 kilometers (km) Construct Your Understanding Questions (to do in class) 4. The tires in Models 1 and 2 tend to fail if they have less than 1 mm of tread. Is the car expected to finish the race without having to change tires? Explain your reasoning. 5. Are the tires on the racecar losing rubber (wearing out) faster near the start of the race or near the end of the race? Cite evidence from Model 2 to support your answer. 6. Use the graph in Model 2 to estimate the slope of the tangent line at u = 950. Show your work including units. Describe what this value tells you about the racecar at u = 950 km. 7. Which notation best describes the quantity you calculated in the previous question? u, W(u), W'(u), t, P(t), P'(t), W(950) W'(950), P(10), P'(10), W(950)-W(0) W(u) W(950)-W(0) 950