The correct value of <em>a </em>or initial amount in exponential growth is 789.
Quantity rises over time through a process called exponential growth and it happens when the derivative, or instantaneous rate of change, of a quantity with respect to time is proportionate to the original quantity.
Given that, hypothetical energy consumption normalized to the year 1990 we have to estimate <em>a</em> and <em>h</em>
For the year <em>1990:</em>
For the year <em>1910:</em>
For the year <em>1920:</em>
For the year <em>1930:</em>
For the year <em>1940:</em>
For the year <em>1950:</em>
For the year <em>1960:</em>
For the year <em>1970:</em>
For the year <em>1980:</em>
For the year <em>1990:</em>
For the year <em>2000:</em>
Here, estimate the parameters of the model graphically, the slope of line is approximated as follows:
a =
a =
a = 788.657
a ≈ 789
Hence, <em>a </em>or initial amount in exponential growth is 789.
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