00:01
So this question says the population of country a is 10 ,000 in 2020 and increases exponentially by 2 % increase each year.
00:20
And i want to know the population in 2025.
00:26
So we're going to use a formula y equals a, b to the x power.
00:34
So my a is going to be my starting value.
00:36
So that's going to be 10 ,000.
00:40
Now my b, since it's increased, it's an exponential growth.
00:44
So it's going to be 1 plus my rate.
00:47
If it was a decay, it would be 1 minus my rate.
00:49
You always have to change your percent to a decimal by dividing it by 100.
00:55
So my b would be 1 plus 0 .02, which would be 1 .02.
01:04
And i want to know my x.
01:06
My x is how much time has passed.
01:09
So from 2020 to 2025, it's been five years.
01:14
So i'm going to plug this right into my calculator...