Question

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

Answer 1

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.

Answer 2

Answer: B. 5634

Explanation:

The exponential decay equation is given by :-

`y=A(1-r)^x`, 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 :-

`y=6803(1-0.017)^(11)=5633.64098323\approx5634`

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