[Video] Q19: S(t) = 158t^2-771t+10,268the number of students enrolled in a certain university t years after 1969 can be modeled by the function s above, for 0 <= t <= 33. the constant term 10,268 in the function is an estimate for which of the following?

Explanation for Question 19 From the Math (Calc) Section on the 2020 October Sat

So question number 19 gives us an equation. 2 And this is a pretty typical sat question. 3 They're asking you what one of the members in the equations means. 4 And if we read through this paragraph here, it says that there's a certain 5 university as students enrolled T years after 1969 can 6 be modeled by this function. So we're modeling the years after 1969 and the 7 number of students that there were. And we can see here that, 8 that 10,268, it's kind of like the Y intercept, 9 right? It's it's on its own. Um, 10 it's kind of just added, it's like a starting point. 11 It's like a starting point. And from here, 12 we can see that if it's a starting point and the starting year for 13 our equation was 1969, 14 then it would make the most sense for that 10,268 to represent 15 the number of students that were enrolled in 1969. 16 And then this part of the function shows the number of students that are 17 added each year after that, because these two parts of the equation are 18 based on time. T so since this is like the Y intercept, 19 we can think of it as the starting point, which leads us to say 20 answer choice a.