Question 1139365: Wind power is the conversion of wind energy into a useful form, such as electricity, using wind turbines. The wind power W installed in a certain country, in megawatts (MW), t years after 2004 can be approximated by W(t)=8733.4(1.406)^t, where t=0 corresponds to 2004. Answer the following.
a. What was the wind power capacity in 2006, in 2007, and in 2008?
b. Graph the function
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the formula is w(t) = 8733.4 * 1.406 ^ t
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.
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