Explanation for Question 36 From the Math (Calc) Section on the Official Sat Practice Test 3
Now here for number six, we're given to any qualities. 2 And we want to know, um, what is the maximum possible value 3 of B, right? And so we've got this X, 4 Y plane, we've got a P a point. 5 And so B is going to be the Y coordinate of that point. 6 And we need to know the maximum possible value of B. 7 So we can start by, um, thinking about what this would look like graphically, 8 right? So we'll have a Y for this first equation, 9 we would have a Y intercept at 3000, 10 and then we would have a slope of negative 15. 11 So it might look something like this, and it would cross the X axis. 12 Um, at 200 X is equal to 200. 13 We would get that by setting Y equal to zero and solving for X, 14 right? And so we see that Y is less than or equal to here, 15 right? 16 So that can be everything below this line, 17 also in the other coordinates here or in the other quadrants. 18 Um, and also against this line, 19 it's also allowed to be against that line. And then we also see that 20 we have the line five X, right? Which looks a little, 21 something like this. It would start at zero and then it would have a 22 slope of five. Right? 23 And so this line is also filled in. And so we can see that 24 we need for this particular equation, 25 Y can be less than or equal to as well. 26 And so the point at which these two lines are not lines, 27 but rather, um, inequalities and regions overlap is right here. 28 And the highest point of that, the peak of the mountain, 29 so to speak is right he...