[Video] Q15: What does the c-intercept represent in the graph?

Explanation for Question 15 From the Math (Calc) Section on the Official Sat Practice Test 1

So, if we look at question number 15 is asking us, 2 what does the C intercept representing the graph? 3 And so something that might be throwing up throwing you off is that you're 4 used to hearing Y or X intercepts, but C sounds a little different. 5 But if we look up at our graph, we can see that C is 6 on the Y axis, right? They've relabeled. This what used to be the Y 7 axis is now our C axis. And what used to be the X axis 8 is now our R H axis. 9 And so with that in mind, what we're really looking for here is going 10 to be our Y axis and our Y intercept, 11 our Y intercept is at five. 12 We see that our total cost is going to be five, 13 right? When our time is zero. 14 So if time is zero and our total cost is five, 15 then we can think of the cost of five as our starting point. 16 Right? So the initial costs that you're going to start with, 17 so we're looking for an answer choice that is similar to initial or starting 18 point. We see the, a says initial cost of renting a boat. 19 So that sounds good. See, you says, 20 or B says total number. And remember, 21 we're thinking about cost, right? We're thinking about C, 22 which was our cost. So numbers. No good. Again, 23 we're not thinking about hours. We're thinking about costs. 24 So C also has the wrong units. 25 Finally, these says the increase in cost to rent for each boat. 26 So this talks about cost, but it's talking about how cost changes for 27 each hour. What D is actually describing is the slope, 28 right? It's describing the change in cost over the change in time, 29 which has changed in Y over change in X, 30 which is our slope. So D is not describing the intercept. 31 It's describing the slope, which leaves our best answer as a.