[Video] Q7: While preparing to run a marathon, amelia created a training schedule in which the distance of her longest run every week increased by a constant amount. if amelia’s training schedule requires that her longest run in week 4 is a distance of 8 miles and her longest run in week 16 is a distance of 26 miles, which of the following best describes how the distance amelia runs changes between week 4 and week 16 of her training schedule?

Explanation for Question 7 From the Math (No Calc) Section on the Official Sat Practice Test 4

Now we're looking at number seven, which has a really long question, 2 right? So as we read through this question, we want to find the information 3 that's important and we're going to highlight it. 4 And so it says, while preparing to run a marathon, Emilia create a training 5 schedule in which the distance of her longest run increased by a constant amount. 6 So knowing that it's a constant amount is important. 7 And that says, if Amelia's training schedule requires that her longest run in week 8 four is a distance of eight miles. 9 And her longest running week 16 is 26 miles, 10 which of the following best describes the distance. 11 Amelia run best describes how the distance Emilia runs changes 12 between week four and week six. And so it's important here to know that 13 we're talking about a constant amount, because some background info we need to have 14 is that when we're talking about a constant increase or decrease, 15 we're talking about something being linear, 16 right? 17 Notice how in line we're always increasing by the same amount, 18 same size steps. Whereas if we talk about something like a parabola, 19 the steps start small and then they get much bigger. 20 So constant tells us, okay, it's not a parabola. 21 It's not exponential. This is like a line. 22 And if in week four, we're running eight miles 23 and then we have week 16 and we're running 26 miles essentially 24 to find the change, we need to find the slope of this line that 25 we've created. Right? So we...