00:01
In this problem, we're considering the function y equals 300x minus 3x squared divided by 5x plus 100.
00:10
In part a, we're asked to use a graphing calculator to graph the function and discuss whether the shape of the graph is appropriate for a laffer curve.
00:20
So if we pull out our graph and calculator and we graph our function from 0 to 100, so in this function, in this function, x represents the tax rate, and y is the revenue in millions of dollars.
00:36
So our x value is the tax rate.
00:37
The y value is how much revenue the government gets.
00:41
And our function looks kind of like this.
00:48
Something like this.
00:50
So we're asked if the shape of the graph is appropriate for a laffer curve.
00:55
And so the answer in this case would be yes.
00:58
We see that when our tax rate is zero, there's zero dollars in income for the government, which makes sense.
01:07
Similarly, if the tax rate is 100, so if the government took 100 % of everyone's incomes, then the theory of laffer curves is that people wouldn't work anymore...