[Video] Q27: A square field measures 10 meters by 10 meters. ten students each mark off a randomly selected region of the field; each region is square and has side lengths of 1 meter, and no two regions overlap. the students count the earthworms contained in the soil to a depth of 5 centimeters beneath the ground’s surface in each region. the results are shown in the table below. which of the following is a reasonable approximation of the number of earthworms to a depth of 5 centimeters beneath the ground’s surface in the entire field?

Explanation for Question 27 From the Math (Calc) Section on the Official Sat Practice Test 1

So for number 27, let's start by thinking about what this field that they're 2 describing would look like. Right? So this field is 10 by 10. 3 So the field has an area of 100 and 4 we have 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 students who have blocked 5 off 10 little plots of land that each have a, 6 um, a sibling of one, right? They tell us that right here, 7 lengths of one meter. So here's the 1, 2, 3 8 or five, six. So, 9 you know, technically we just need 10 little blocks, 10 1, 2, 3, 4, 5, 6, 7, 8, 11 perhaps I haven't drawn these quite to scale, right? Because if each of these 12 blocks has a side length of one meter, 13 then I should be able to fit 10 squares into one row here. 14 So 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. 15 There we go. Right? Because if each of these has a sideline of one 16 and they're right next to each other, then I can line them up on 17 the side of the field. 18 So we can see that what's happening here is that these squares have a 19 total area of 10, right? 20 Each square has an area of one, so squares, 21 or I guess we can call them, what do they call them? 22 Regions. The regions have a total area of 10. 23 So the area of the regions is one 10th of the area of the 24 entire field. And that's really important to know here, right? 25 Because we're trying to find the total number of earthworms 26 in the entire field. And I can start by adding all the earthworms from 27 each, um, from all the regions, right? 28 So all of these regions in this one row had about ...