00:01
So in this problem, we're looking at a new method that parents can use to get their new babies to fall asleep at night.
00:09
So we are presented with an equation, w equals 5n plus 5.
00:13
And i've gone ahead and color -coded our variables.
00:17
So w represents wait time in minutes, and n represents the number of the night.
00:24
So if we look at this first question here, it says, how long should parents wait on the first night? so let's take a look at what we know.
00:34
So it's telling us right away that it's the first night.
00:39
So that must mean that n equals 1.
00:42
And it's asking us how long.
00:48
So this means we are trying to solve for a unit of time, which we already know would be w.
00:55
So we can go ahead and plug 1 into our equation for n.
01:00
So we would get w equals 5 times 1 plus 5.
01:12
And if we go ahead and solve this, we would get w equals 5 times 1, which is 5 plus 5.
01:22
And then that would simplify into w equals 10.
01:27
And we can see from what the problem told us that our w units are minutes.
01:34
So our full answer is 10 minutes.
01:38
So on the first night, the parents should wait 10 minutes.
01:46
So let's go ahead and look at the next question.
01:50
How long should parents wait on the fourth night? so this is very similar to the first question, except instead of the first night, now we're looking at the fourth night.
02:00
So we know that n equals 4.
02:04
And similar to what we did in the first question, it's asking us how long.
02:09
So we're trying to solve for our w.
02:14
So like we just did, we can go ahead and plug 4 in for n in our equation.
02:19
So we would get w equals 5 times 4 plus 5.
02:30
And if we simplify, we get w equals 5 times 4, which is 20 plus 5.
02:39
So then we get w equals 25 minutes.
02:45
So now let's go ahead and move on to the next question.
02:52
This one's a little bit different...