00:01
Hello.
00:02
Okay, so first we're given a formula, which is nice because then we don't have to derive it for ourselves.
00:08
We're given that y is equal to 10 ,000 times 6 to the power of negative 0 .06 x.
00:23
Well, this is an exponential formula because it has a negative exponent, it is going to be decreasing.
00:30
So over time, it will get closer and closer and closer to zero, but never quite touching.
00:34
It, but each period of time is going to decrease and x is our time and the problem says that this is measured in weeks.
00:45
And this value in front is our beginning value.
00:50
So the part a question asks what was the value when the campaign ended? so when they started calculating the decrease in sales, and that's this $10 ,000.
01:03
When they were done with the advertising campaign they had sales of $10 ,000.
01:08
One week later it will have gone down by this factor.
01:11
Two weeks later it will have gone down by this factor again and continue that process on.
01:18
So now the second part of the question asks what the value of sales are expected to be after two weeks.
01:26
So y is equal to 10 ,000 times six to the power of negative 0 .0 .0 .000.
01:44
6 times 2 and when we calculate that we get y is equal to 8065 .32...