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# M8.4.28

Represents real-world problems using algebraic functions and graphs of those functions.

### Why Tailgating on Freeways is Unsafe: A Real-life Example Using Quadratic Equations

We discuss how to compute the stopping distance of a car traveling at a given speed-- a real life application of a math topic, quadratic equations, and science topics, such as motion, kinetic energy, and work done. We also discuss the idea that while mathematics can be utilized to model real life situations, there is much more to consider, if one wants more refined and appropriate solutions to real life problems.

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### How Far Can You See?

Problem: Fire towers are built so firefighters in forested regions can scan large areas for potential trouble. Upper-story and penthouse apartments rent for the highest prices because of the terrific views. Assuming the atmosphere is clear, and there are no hills or mountains obstructing the view, how far could you see to the horizon from the top of a 100 meter fire tower? From the top of a 55 story skyscraper, where each floor is 3 meters high? From the top of the tallest building in the world (the Petronis Tower in Kuala Lumpur, Malaysia, 1,467 ft. high)?

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