00:01
So we're told that a tour for one person costs $49, and for each additional person on the tour, the price per person will go down by $1.
00:11
The first thing they ask us to do is to write the price per person as a function of n people.
00:19
So we have some function, p of n, and it's going to be equal to.
00:24
So the price lowers by $1 per person.
00:28
Well, we can think about this as a slope.
00:30
So this is going to be m is equal to negative 1.
00:35
So we might try to write this as a line.
00:37
So negative 1 times n.
00:40
And now we just need to figure out what our constant or our y intercept b is.
00:44
Well, we know for one person, the output should be $49.
00:49
Or otherwise, we know the point 1 .49.
00:52
So we can plug this into our equation here.
00:55
And this is going to be.
00:57
So let me go ahead and get rid of this one right here, because it looks like natural log instead of negative 1.
01:08
So now plugging in this, we would end up with 49 is equal to negative 1 plus b...