Using exponential function concepts, it is found that the constant 1.0015 reveals that the quantity increases by 0.15% each decade.
An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
In this problem, the function is:
[tex]f(t) = 9900(1.0015)^{10t}[/tex]
In which t is the time in decades.
The growth rate is r = 0.0015, as [tex]1 + r = 1.0015 \rightarrow r = 0.0015[/tex], hence the constant 1.0015 reveals that the quantity increases by 0.15% each decade.
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