Question

How would I solve this. Since I’m not sure what formula I could be using to solve this or how?

Answer 1

`\begin{gathered} a)\text{ 23 \%} \\ b)\text{ w\lparen t\rparen= 90e}^(0.23t) \end{gathered}`

Step-by-step explanation:

a)We have the general representation as follows:

`w(t)\text{ = ae}^(kt)`

when t = 3, we have the value doubling

Thus: w(t) = 2 * 90 thousand = 180 thousand megawatts

Thus:

`\begin{gathered} 180\text{ = 90e}^(3k) \\ e^(3k)\text{ = 2} \\ k\text{ = }\frac{ln\text{ 2}}{3}\text{ = 0.231} \end{gathered}`

This means we have the continuous growth rate at 23%

b) Writing w as a function of t, we have it that:

`w(t)\text{ = 90e}^(0.23t)`