The value of a is 25000, and the value of b is 0.96 if the population of a certain city was 25000 in 2010 and decreased by 4% each year afterward.
What is an exponential function?
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:
The population of a certain city was 25000 in 2010 and decreased by 4% each year afterward.
The exponential decay function can be modeled:
[tex]\rm y = a(1-r)^x[/tex]
a = 25000
r = 4% = 0.04
[tex]\rm y = 25000(1-0.04)^x[/tex]
[tex]\rm y = 25000(0.96)^x[/tex]
On comparing
a = 25000, b = 0.96
Thus, the value of a is 25000, and the value of b is 0.96 if the population of a certain city was 25000 in 2010 and decreased by 4% each year afterward.
Learn more about the exponential function here:
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