Explanation for Question 23 From the Math (Calc) Section on the 2019 October Sat
Now number 23, we're talking about a dwarf planet that every year makes one 2 orbit or not every year, every 310 years is able to make one orbit. 3 So if this middle.is the sun, and this is the planet, 4 the planet can go around one time, every 310 years, 5 we're trying to create a function that would allow us to relate the orbits 6 to the years. And so the first thing that we're going to want to 7 do here is decide what variable is, 8 what right? We see that there are really two variables here. 9 Now, RFT, it tells us that R is the number of orbits. 10 So RFT is the number of orbits. 11 And then T is the time in years. So T is years. 12 And so perhaps the best way to think about this problem is to come 13 up with your own numbers that you know, to be true. 14 And then from there, like an example, 15 and then from there, plug in those numbers and see which function actually works 16 with the facts that you already know. And so the fact that I'm going 17 to use is that I know that my RFT should be one orbit. 18 I should have an orbit of one when my T is equal to 310 19 years, because they already told me that in the equation. 20 And so now if I test the answer twice a day and I do 21 310 plus T that's 310 plus 310, 22 right? And that's going to give us 620 as RFT. 23 So we know a can't be right, because RFT should only be one, 24 not 620 here. So a is not going to work because it doesn't 25 work with our example numbers that we were given in the, 26 in the, in the paragraph ab...