Question

Total power generated by wind worldwide doubles every 3 years. In a particular year, the world wind-generating capacity was about 86 thousand megawatts. Find the continuous growth rate and give a formula for wind generating capacity W (in thousand megawatts) as a function of t, the number of years in the future.

The continuous growth rate is percent

Answer 1

Since it doubles every three years, then it increases by 1/3 every year.
The continous grwth rate is 33.3%

Let the wind generating capacity be W and the number of years be t, then
W = 86000(1 + 2/3)^t = 86000(1.33)^t
W = 86000(1.33)^t