Some Real-Life Modeled Examples :D

If you're still confused about modeling and its uses , we're going to show you some real-life situations that have been solved by modeling.
1. If an architect wants to build a tunnel, he needs to know about         several points. First he needs to know the average height of               tunnels and the average height of trains that pass by the tunnel.         And finally he will need to form an equation for this tunnel.

    Here's the picture of the model using technology. (Geogebra)

Here's the function the architect detected:

f(x) =  - 0.06 x^2 + 1.3x +2.43

Using this function he can know the dimensions he needs in order to accomplish the bridge!

2. If a man wants to build a mosque, he surely has to build a dome       for it. Domes have lots of uses especially in raise the voice               produced under it. So the man needs to know the exact point on       the dome where the sound will be maximum (the center of the         dome.) 

Here's the equation found:

f(x) = - 0.03 x^2 + 0.81x - 0.06

Using this function and the model he created, now he can easily detect the center of the dome and the dimensions needed.

3. Now, we will show you a simpler example. If you want to                 calculate the equation of the parabola made by a flashlight.               Here's what you have to do: 

And you've just turned a flashlight into mathematics!

4. Let's have some fun and model a roller-coaster! Roller-coasters       make parabolas out of their rails. And you can model this                 parabola using Geogebra. Here's the modeling of the roller-               coaster.

5. Here comes our favorite part, McDonald's! Did you know that         even the McDonald's can be mathematically modeled? Here's its       model and the functions.  

Hope after these examples of different applications of modeling, you understand it and its uses clearly!