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svlad2 [7]
2 years ago
15

1 If the population of a town increases by 280 people per year, then the growth is LINEAR (or constant). If the population in 20

22 is 120,500, then what will the population be in 2023?
Mathematics
1 answer:
Stella [2.4K]2 years ago
7 0

The population in the year 2023 is 120,780.

The growth is linear hence, the equation of the growth is
y=ax+b where b represents the initial population and a is the number of people growing yearly.

So, according to the question statement, we have that

y=280x+b where x is the number of years past and y is the population in the xth year.

According to the given problem population in 2022 will be 120,500.

Suppose that the initial population is taken at 2000.

Hence, 120,500=280×(2022-2000)+b

⇒b=120,500-280×22

⇒b=120,500-6,160

    =114,340

So, the Linear equation becomes

y=280x+114,340

⇒y=280×(2023-2000)+114,340

⇒y=120,780

Hence, the population in the year 2023 is 120,780.

Learn more about linear equations here-

brainly.com/question/11897796

#SPJ10

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