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Answer:
Where a represent the initial amount and b the rate of growth/decay for the model and the time in years since 1950.
For this case the value of b is given by:
And if we solve for r the rate of growth we got:
The answer for this case would be: 1.022 represent the growth factor for the GDP since 1950 (because b >1) and each year the GDP increase by a factor of 1.022
Step-by-step explanation:
For this case we are ssuming that we can model the GDP gross domestic product (GDP) of the US, in thousands of dollars with the folllowing function:
And we can see that this formula is governed by the exponential model formula given by:
Where a represent the initial amount and b the rate of growth/decay for the model and the time in years since 1950.
For this case the value of b is given by:
And if we solve for r the rate of growth we got:
The answer for this case would be: 1.022 represent the growth factor for the GDP since 1950 (because b >1) and each year the GDP increase by a factor of 1.022