Explanation for Question 20 From the Math (Calc) Section on the 2020 October Sat
So question 20 is asking us what the slope of this equation here would 2 represent. We're looking for the slope. 3 And whenever we think about slope, we want to think about rise over run, 4 right? And if we think about rise, 5 that's vertical and the vertical axis has our X or Y coordinates. 6 And if we think about run, that's our horizontal axis, 7 which has our X coordinates. So we can think about this in terms the 8 slope in terms of the Y coordinate and the X coordinate. 9 And now all of our Y um, numbers are income in dollars and 10 all of our X coordinates or customer ratings. 11 So what this means is that every time, 12 if Y equals 44 X, and we can kind of ignore the 500 here, 13 cause we're just worried about the slope. This means that every time I increase 14 X by one, my Y value actually increases 15 by 44. 16 Because each time I increase X by one, 17 I'm multiplying that number by 44 to give me my new Y value. 18 So this 44 is actually impacting the Y value, 19 not the X value. And so for that reason, 20 we're going to choose answer choice D but uh, 21 another way that you can think about it is that whenever you're talking about 22 slope, you're talking about a change in your X value, 23 impacting your Y value. And since our X value is customer rating, 24 we can see that for every change in the customer rating. 25 That's why this comes first. Our Y value is impacted and now 26 the 500, like we said, is the Y intercept. 27 So it doesn't have anything to slope to do a slope. 28 So all of our answers that say 500 can be eliminated and then 544, 29 that's like adding the slope with the y-intercept and that never happens, 30 um, with align. So the only one that makes sense with the, 31 with the number of the slope is going to be the.