Explanation for Question 1 From the Math (No Calc) Section on the Official Sat Practice Test 6
Question one asks us saline wants to purchase tickets from a vendor to watch 2 a tennis match. The vendor charges, 3 a one-time service fee for processing the purchase of the tickets. 4 The equation T equals 15 and plus 12 represents the total amount T 5 and dollars saline will pay for N tickets. 6 What does 12 represent in the equation? 7 So that's right at, out big to the side so we can see it 8 a little better. So we've got T equals 15 N plus 12. 9 We know that T is the cost in dollars that N 10 refers to the number of tickets. 11 And we're asked what 12 means here. 12 Okay. 13 So if we think of the typical slope intercept equation, 14 Y equals MX plus B, we know that M is the slope and that 15 B is the Y intercepts. So if we look at that T equation right 16 there, we can see that that's the SIM the same, 17 um, the same equation, just with different variables. 18 So, um, now is N with N being the number of tickets and B 19 the Y intercept is equal to 12. 20 So if we picture it on a graph like this, 21 it's gonna look something like, if 12 is right here, 22 it's gonna look something like that. So thinking about what 23 the Y intercept means in this expression, 24 it's essentially when the number of tickets is at zero, 25 what the base fee would be. And because of that, 26 we know that it's going to be the amount of the service fee in 27 dollars, regardless of the number of tickets, 28 it's $15 per ticket. There's still going to be that 12 base fee that 29 gets added on to $15 times the number of tickets. 30 So that's why we can pick B is our answer.