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Alecsey [184]
3 years ago
15

For the following exercise, consider this scenario: A town's population has been increasing at a constant rate. In 2010 the popu

lation was 45000 . By 2012 the population had increased to 51250 . Assume this trend continues linearly. Predict the population in 2016.
Mathematics
1 answer:
bazaltina [42]3 years ago
7 0

Answer:

63,750

Step-by-step explanation:

#Calculate the rate of change per year:

\bigtriangleup=\frac{2012 \ pop- 2010\ pop}{2012-2010}\\\\=\frac{51250-4500}{2}\\\\=3125

The population increasing by a constant of 3125 per year.

-Let x be the time in years

-The general form of a linear equation is

y=mx+c, c=45000\\\\\therefore y=mx\\\\y(x)=3125x+45000

The population in 2016 is therefore predicted as:

y=mx+c\\\\y(2016-2010)=3125x+45000\\\\y(6)=3125\times 6+45000\\\\=63750

Hence, the population in 2016 is 63,750

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