[Video] Q4: Kathy is a repair technician for a phone company. each week, she receives a batch of phones that need repairs. the number of phones that she has left to fix at the end of each day can be estimated with the equation p = 108 − 23d , where p is the number of phones left and d is the number of days she has worked that week. what is the meaning of the value 108 in this equation?

Explanation for Question 4 From the Math (No Calc) Section on the Official Sat Practice Test 1

So number four says that Kathy is a repair technician for a phone company 2 in each week. She receives a batch of phones that need repairs. 3 The number of phones that she has left to fix at the end of 4 each day can be estimated with this equation here, 5 where P is the number of phones left in D is the number of 6 days that she's worked that week. And so what is the meaning of the 7 108? Right? So P is the number of phones left. 8 So if P is the number left, 9 then we should imagine that there's going to be a starting point for the 10 number of phones and every day she's going to fix some of the phones. 11 Right? And so the amount that she's fiction fixing is represented by that subtraction 12 sign, right? Because edge each day, she's taking away, 13 someone's from her initial pile of phones that need to be fixed by fixing 14 them. 15 Right? And so that's the minus 23 each day. 16 That's showing us that she's fixing 23 phones every day. 17 And since it's being subtracted from the 1 0 8, 18 we can imagine that the 1 0 8 is the starting point. 19 It's the number of phones that she needs to fix each week. 20 And then from that, we're subtracting 23 phones every day. 21 And so the one that tells us that the 108 is her starting point 22 is going to be B Kathy starts each week with 108 phones to 23 fix. Now what's wrong with a, 24 is that it says that she'll fix them within 108 days, 25 none of these, or I guess the only variable that represents days is D 26 right, but D times 23...