The percentage rate of increase is 36.2% and the exponential function represent the growth.
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]
where 'a' is a constant and a>1
We have exponential function:
[tex]\rm y = 8900(1.362)^x[/tex]
If we compare with
[tex]\rm y =a(1+r)^x[/tex]
If 1+r > 1
1.362 > 1
So the growth rate r is
1 + r = 1.362
r = 0.362
r = 0.362×100
r = 36.2%
Thus, the percentage rate of increase is 36.2% and the exponential function represent the growth.
Learn more about the exponential function here:
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