Question

The amount​ (in megawatts) of energy generated in a country from wind power can be modeled by the function ​W(t)equalsw0​(1.90​)t​, where tequals0 corresponds to the year 2000. ​(a) The amount generated in the year 2000 was 2540 megawatts. Find w0. ​(b) Estimate the amount of energy generated by wind power in the years 2004 and 2013.

Answer 1

Answer with Step-by-step explanation:

We are given that

`W(t)=W_0(1.90)^t`

Where t corresponds to the year 2000=0

a.
`W(0)=2540MW`

Substitute the values

`2540* 10^6=W_0(1.90)^0=W_0`

`W_0=2540MW`

b.In 2004

t=4

`W(4)=2540(1.90)^4`

`W(4)=33101.534 MW`

c.In 2013

t=13

`W(13)=2540(1.9)^(13)=10.68* 10^6MW`