[Video] Q8: The average number of students per classroom at central high school from 2000 to 2010 can be modeled by the equation y= 0.56x + 27.2, where x represents the number of years since 2000, and y represents the average number of students per classroom. which of the following best describes the meaning of the number 0.56 in the equation?

Explanation for Question 8 From the Math (Calc) Section on the Official Sat Practice Test 3

Now number eight tells us that the average number of students per classroom at 2 central high school from 2000 to 2010 as modeled by this 3 equation, right? Where X is the number of years since 2000. 4 So X is kind of like time. And then why is the average number? 5 So Y equals the average number of students, 6 which of the following best describes the meaning of the 0.6, 7 right? And so we should immediately see that Y equals 0.56 X plus 2 27 8 0.2 is kind of like the equation of a line, 9 right? And in this equation of the line, 10 we see a slope. So first thing we need to know is that, 11 um, a slope represents a rate of change, 12 right? We talk about slope as being rise over, 13 run the steepness of a line. And so it's a value that shows change 14 over time, right? And if we're looking at our answer choices, 15 we know that our slope is never the total number of students. 16 So A's not going to work because we're not looking at a total number. 17 We're looking at a slope. Um, 18 the better number to describe a would be 27.2, 19 right? Because that 27.2 is like our starting point at 2000. 20 It's our Y intercept is our starting point. And so a would be a 21 better description of the y-intercept. Um, 22 if we look at the, or rather 27 is better a description 23 of the actually, because we weren't looking at the average of the school, 24 right? We were looking at the total of the school. We were looking at 25 the average number of students per classroom. 26 So 27.2 is a des...