00:01
This problem gives us a formula for population in millions a, where a is equal to 893 .8 times e raised to the exponent of 0 .002 times t, and t is the number of years after 2003.
00:14
So what this problem asks us to do is to use the formula to predict or to figure out the population in 2003.
00:23
So it's kind of a, i want to say, trick question, but it's going to be something where our answer is already built into the problem, because the problem.
00:30
The number of years that have passed after 2003 in 2003 is zero.
00:35
So if we wanted to figure out the population in 2003, we can still technically use this formula where it's 893 .8 times e raised to the 0 .002 times zero.
00:47
But the reason we can kind of shorthand this formula, at least even evaluating it with zero as the exponent, is zero times anything is just zero.
00:55
So we're left with 893 .8 times e to the zero.
01:00
And anything raised to the zero power is one.
01:03
So e to the zero is equal to one, and one times that 893 .8 keeps it at 893 .8...