00:01
Hi there, so for this problem, the first question in here, and we are given the expression for the animal lumber of passengers that is given by the following expression minus 0 .102 times the time to the 3.
00:22
And then this plus 1 .39 times the time square.
00:28
And then this minus 3.
00:31
29 times the time plus 79 .25.
00:36
So for part a of this problem that you already answered, you need to estimate numerically.
00:42
But remember that the one from before, it was measured a million of passengers.
00:48
So you already obtained that for a, the rate of change of these number of passengers evaluated at 3 is equal to, so let me see, is 2 ,200, and 906 ,000.
01:01
Thousand passengers per year.
01:06
Now, with this, you can already answer to interpret this rule as well because it is increasing because the value is positive by approximately this value right here.
01:16
So the answer is that value right there.
01:18
Now, for part of this problem, the question is to calculate percentage rate of change.
01:24
Okay.
01:24
So what we need to do is to divide the rate of change of this divided by the number of the number of passengers at that value, and then we multiply this by 100%.
01:39
That's how you obtain the percentage rate of change.
01:44
So you already obtained this value that you need to substitute it in here, but the value of the population of 3, let's obtain it from this expression, so that will be minus 0 .102, and this times 3 .3.
02:02
To the 3, and then this plus 1 .39, and this times 3 to the square, we keep going in here, minus 3 .29 times 3 .29.
02:25
So let's calculate this by using our calculator.
02:51
Then the value that we obtained from this, remember that this is a million.
02:55
So the value that we obtained from this is 79.
03:03
So yes, it will be 79, 136 ,000.
03:09
So we need to divide the value that we obtained from before.
03:12
That is 2 ,296 ,000...