00:03
All right, we're given an equation for the cost of a can of soda, which looks like 0 .1e to the 0 .0576 times t, where t is the year since 1960.
00:15
And we were asked to figure out how much is it going to cost in these couple of years here.
00:19
All right, so in 2000, well, the first thing we have to do is figure out what's my value of t? and we're simply going to subtract 1 ,960, 1960 from 2000, and get that's when t is equal to 40.
00:30
And then we're just going to substitute that in.
00:33
So i'm going to get 0 .1e to the 0 .0576 times 40.
00:39
All right.
00:40
And when we type that into a calculator, we get 1 .001, 1 .01, which, you know, we're talking money here.
00:47
So i'm assuming that that would be $1.
00:51
2005, well, that's just five years later.
00:54
So that's when t is equal to 45.
00:57
So let's go and change that value for my exponent.
00:59
And by that time, it's at 1 .335.
01:03
All right.
01:04
So we get 1 .335...