Explanation for Question 32 From the Math (Calc) Section on the Official Sat Practice Test 4
Not for question number 32, we're looking at a normal systolic blood pressure P 2 um, for an adult male. And we were given this equation. 3 We're exes how old the adult male is. 4 So according to this model, which is really just saying, 5 according to this equation, uh, for every one year in age, 6 by how many millimeters of mercury really just, 7 um, the units, right? This is the units of pressure, 8 um, will the normal systolic blood pressure, 9 blood pressure for male increase. And so I see there's a lot of vocab 10 here, right? Millimeters mercury, 11 normal systolic, blood pressure. Really, 12 all they want to know is, um, every time X goes up by one, 13 how much bigger does P get? 14 And when we think about this X changing and why changing, 15 maybe that reminds you of change in Y over change in X, 16 right? Which is really in this case, change in P over change in X. 17 And that's our slope. What we need to do here is figure out the 18 slope of this graph for this model. 19 But if we're talking about slope, we often want to see things in Y 20 equals MX plus B form Y intercept form, 21 because we can easily find the M and go from there. 22 But in this case, that's not what we have. We have something slightly different. 23 So our question is then what do I do with this one half? 24 Right? And so when you only have, um, 25 one number and your denominator, 26 you can actually, what we call decompose the fraction, 27 right? I can rewrite it where I distribute the two kind of...