Directions: In this performance task, you are expected to create observation report about the given situation. You need to show your complete solution to the given quadratic function and justify your answer.

Title: Real-Life Application of Quadratic Functions

Objective: To appreciate the real-life application of quadratic Functions

You are recently promoted as the chief traffic management officer of a major city in the country. Based on recent data, you learned that one of the leading causes of road accidents is over speeding.

In your desire to minimize road accidents, you went out to observe how traffic management rules are implemented on the streets. Your attention was caught by a fast - moving car that seemed to be breaking the speed limit of 100 kilometers per hour(km/hr.), and so you followed it along the highway. After a short time, the driver of the car noticed you and started to slow down. Eventually, he stopped on the side of the road.

Supposed the speed of the car had been noted during this time and is modeled by the quadratic equation y = 3x² + 17x - 20, where y represents the speed of the car in km/hr. and x represents the number of minutes after you started following the car. How long did it take for the car to be under surveillance before it could finally stop on the side of the road? Did the driver of the car really break the speed limit of 100 km/hr.? Explain. The result of your observation will be presented to the students in your section and will be graded by your teacher.

You will prepare an observation report highlighting whether it is necessary to come up with a more stringent implementation of traffic rules based on the outcome of your analysis of the problem that you encountered on the road.

Your output will be evaluated based on the following standards: Thoroughness of analysis of the problem, Correctness of the solution of the problem, Completeness of the report, over all presentation.