t = 0 corresponds to 2004.
you want to know what the wind power was in 2006, 2007, and 2008.
that would be t = 2, 3, and 4.
that's based on the following table.
year t 2004 0 2005 1 2006 2 2007 3 2008 4
you could also have done:
2006 - 2004 = 2
2007 - 2004 = 3
2008 - 2004 = 4
since 2004 is t = 0, then 2006 is t = 3 and 2007 is t = 4 and 2008 is t = 5.
the formula is w(t) = 8733.4 * 1.406 ^ t.
in 2004, that becomes 8733.4 * 1.406 ^ 0 = 8733.4
in 2006, that becomes 8733.4 * 1.406 ^ 2 = 17264.49952
in 2007, that becomes 8733.4 * 1.406 ^ 3 = 24273.88633
in 2008, that becomes 8733.4 * 1.406 ^ 4 = 34129.08418.
if you let w(t) = y and you let t = x, then you can graph the function using the desmos.com calculator.
my graph is shown below.
