Explanation for Question 22 From the Math (Calc) Section on the 2019 April Sat
For number 22, we were given at the graph of this function and then 2 an equation for the function, but using variables a, 3 B and C. And we want to know a, 4 B and C in order from least to greatest. 5 So we need to find all three values in order to be able to 6 order them, but we can start off by finding C that would be the 7 easiest one to find C is going to be the Y intercept. 8 If you think about Y equals MX plus B B as 9 always the Y intercept. So this is the same thing we have here except 10 M is equal to a over B and B is equal 11 to C. It can be a little bit confusing because of the variables that 12 they chose. But remember, this is slope intercept, 13 and then these are the variables from the equation. 14 So now we're looking for the Y intercept. 15 That is where it crosses the Y axis. 16 And that happens at this point here. If this is one, 17 then that means that it crosses the Y axis at the 0.2. 18 So C is equal to two. 19 So now, as we compared our function to Y equals MX plus B, 20 we found the M is equal to a over B. 21 So whatever the slope is, is going to be our a and then 22 our base. So if we find our slope rise over run, 23 I'll start off at this y-intercept point here. 24 And I'll pick another point where it crosses exactly. 25 We can use this point here. So to get there, 26 we would have a rise of one and a run of 1, 2, 3. 27 So Fry's is equal to one and run is equal to three. 28 So now, if our slope is one third, 29 M equals one third, and M also equals a over B one 30 third is going to equal a over B. 31 So a is equal to one and B is equal to three, 32 and now we can order them the correct orders should be a C 33 B, which is choice B.