00:01
So we want an exponential function that looks something like this, a times b to the x.
00:06
And what we know is a few things.
00:09
For instance, we know that one -order pair is negative 2, comma, 4 over 25.
00:16
And so what that tells me as i piece these things together, is that when x is negative 2, then y has to be 4 over 25.
00:24
So i're looking at a times b to the negative second power is equal to 4 over 25.
00:31
Now, just kind of a heads -up, that actually means a over b squared is equal to 4 over 25.
00:39
So then at the same time, we also have the ordered pair 3 -500.
00:47
So when x is 3, y is 500, and we can come up with a very similar problem.
00:55
And for each of these, i would actually solve for a, because you can just multiply that b squared over...