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balu736 [363]
3 years ago
10

The population of watesville decreases at a rate of 1.6% each year if the population was 62,500 in 2015 what will it be in 2021

Mathematics
1 answer:
Yanka [14]3 years ago
6 0

Answer:

Step-by-step explanation:

We need to first find the model for this particular situation, knowing that this is an exponential decay problem. The main equation for exponential growth/decay (as far as population goes for our problem) is

y=a(b)^x where a is the initial population, b is the rate of decrease in the population which can also be written as (1 - r), y is the population after a certain amount of time, x, goes by. We will let year 2015 = 0 so year 2021 can = 6. This keeps our numbers lower and doesn't change the answer!

Our initial population in the year x = 0 is 62500. Our rate of decay is

(1 - .016) so our b value is .984

Filling in to find our model:

y=62500(.984)^x

Now we can use that model and sub in a 6 for x to find the population in the year 2021:

y=62500(.984)^6 and

y = 62500(.9077590568) so

y = 56734.9 or, rounded to the nearest person, 56735

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