How far will a car travel before coming to a full stop after the driver applies the brakes? How do accident investigators determine whether cars involved in accidents were traveling at safe speeds? They consider variables such as a car’s speed, the driver’s reaction time, the type of road, the weather conditions, and the effectiveness of the brakes. Part A: Suppose a car is traveling on a dry, level road and the driver has average reaction time. The formula y = 0.048x2 + 0.37x relates the car’s approximate stopping distance y, in feet, to the speed of the car x, in miles per hour.

Part B:At about what speed should a driver travel to guarantee a stopping distance of 50 ft or less? Use the quadratic formula to find the speed. Round your answer to the nearest hundredth
Part C:Explain each step of the solution to part b.
Part D: Explain how you can find the speed you found in Part B by using a graphing calculator to graph two functions.