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A town's population is currently 6803 and it is decreasing at a rate of 1.7% each year.

Which is the best prediction for the town's population in 11 years?

A. 6687
B. 5634
C. 1157
D. 608

Respuesta :

Maysonludoph
The answer would be letter a Because if you think of it 1.7% decreasing every year is not the much so the answer is letter A.
JeanaShupp

Answer:  B. 5634

Step-by-step explanation:

The exponential decay equation is given by :-

[tex]y=A(1-r)^x[/tex], where A is the initial amount , r is the rate of decay and x is the time period.

Now, by the given information,

The initial population P= 6803

The rate of decrease = 1.7%=0.017

Now, the town's population in 11 years will be given by :-

[tex]y=6803(1-0.017)^{11}=5633.64098323\approx5634[/tex]

Hence, the  best prediction for the town's population in 11 years = 5634

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