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!