## Desmos Portrait 2018

For this assignnment, when I was figuring out what equations to use, I looked back on what types of equations would create what shape, and I followed the patterns that would help me create my desired shape. First I started by creating my head, and then the rest of my body. These were the easier steps and I made it fairly quickly. Then when I was creating my facial features, it got a lot harder. The equations had to be more complex, and I tried my hardest to figure them out, but whenever I wasn’t able to figure it out, I asked my classmates, and if they also did not know, then I researched what would create the shape I wanted. I had a few aha moments, and it was when I finally figured out how to create the circles that I needed for my eyes. I was trying to figure it out, but both my eyes would end up too big or too small and both centred on the y axis. I did not want this, and so I kept changing the equations, and finally figured it out. I mostly used trial and error, as a strategy, because often the shapes would be slightly off where i wanted them to be positioned, and so I would change a few of the numbers, until I got what I wanted. This assignment definitly helped my further understand relations and functions and graphs, and it was a fun activity to help me get a better understanding. ## Math Relations Graphing Stories

For this assignment we had to figure out how much water the barrier at Garibaldi Lake holds, and what would happen if the barrier broke. To find out how much water is in the lake, I had to calculate the volume. From the dimensions on Wikipedia, the surface area of the lake is 9.94km squared, and the average depth is 119m. So first I have to convert 9.94km squared into metres squared.

9.94km squared = 9 940 000 meters squared.

So then I had to multiply 9 940 000 x 119 to get a total of 1 182 860 000 meters cubed.

I wanted to figure out the volume of Garibaldi Lake, so I needed 1 182 860 000 metres cubed to be converted into Litres.

So 1 182 860 000 meters cubed = approximately 1 trillion Litres.

So the volume of Garibaldi lake is approximately 1 trillion Litres.

1 Litre is equal to 1 kilogram. So Garibaldi lake flowing out is around 1 trillion kg. A skyscraper weighs approximately 222500000 kg. So 1 000 000 000 000 divided by 222500000 = 4 494…. Now imagine 4 494 skyscrapers falling down on you. That is how much weight it would be if Garibaldi Lake flowed out.

If the barrier at Garibaldi Lake were to break, a huge portion of the 1 trillion Litres would flow down into Squamish and flood the surrounding area. Because the lakes floor is not flat, there are parts that are deeper than the barrier, so if the barrier were to completely break, the deepest parts of the lake would not flow out. After doing some research, I found out that Steve Quane did a study on Garibaldi lake and found out that the energy of the lake flowing out, would be 200 times more energy than the atomic bomb dropped on Hiroshima. That is a really scary thing to think about, and because we live so close to this natural danger, it is a threat that needs to be assessed often to make sure that it is safe and that there is not a high risk of the barrier breaking.

Sources used:

https://en.m.wikipedia.org/wiki/Garibaldi_Lake

https://en.m.wikipedia.org/wiki/The_Barrier

http://www.squamishchief.com/news/garibaldi-lake-a-ticking-time-bomb-1.1753732

Image Citation:

Arnold, Dan . “Panorama Ridge at Garibaldi.” Dan Arnold Hiking , www.darnoldhiking.com/garibaldi.html .