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Alenkasestr [34]
2 years ago
11

A population numbers 15,500 and grows at 3.75% per year. Write an exponential model for the growth of this population.

Mathematics
1 answer:
krek1111 [17]2 years ago
4 0

Answer: f(x)=15500(1.0375)^x

Step-by-step explanation:

The exponential model for growth is given by :-

f(x)=A(1+r)^x, where A = initial value , r = growth rate (in decimal), x = time  (in years).

Given: A= 15,500      r= 3.75% = 0.0375

The exponential model for the growth of this population will be :

f(x)=15500(1+0.0375)^x\\\\\Rightarrow\ f(x)=15500(1.0375)^x

hence, the required model: f(x)=15500(1.0375)^x

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