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Luba_88 [7]
3 years ago
13

Total power generated by wind worldwide doubles every 3 years. In a particular year, the world wind-generating capacity was abou

t 94 thousand megawatts. Find the continuous growth rate and give a formula for wind generating capacity W W (in thousand megawatts) as a function of t t , the number of years in the future.
Mathematics
1 answer:
professor190 [17]3 years ago
3 0
<span>f(t) = 94*1.25992105^t Since the value doubles every three years we want an X such that X^3 = 2 Or in simpler terms, our growth rate is the cube root of 2. So lets get that. To calculate the nth root of a number you can take the logarithm of the number, divide by n, then get the anti-log. So 10^(log(2)/3) = 10^(0.301029996/3) = 10^0.100343332 = 1.25992105 Now the function becomes trivial. I'll use t as the number of years since the baseline capacity was calculated (94 thousand megawatts at t = 0). So f(t) = 94*1.25992105^t</span>
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