A town's population was 12,000 in the year 2010. Since 2010, the population of the town ha… — SAT

A town's population was $12,000$ in the year $2010$ . Since $2010$ , the population of the town has increased by a constant amount of $350$ people each year. Based on this information, what was the population of the town in the year $2018$ ?

Answer: 14800

Answer

14,800

The population starts at

12,000

2010

and grows linearly by

350

people per year. The number of years from

2010

2018

2018 - 2010 = 8

years. The total increase in population is

350 \times 8 = 2,800

people. Adding this to the initial population of

12,000

gives a total population of

12,000 + 2,800 = 14,800

in the year

2018

Step-by-Step Solution

Calculate the number of years that passed between

2010

and

2018

8

years

To determine the total population growth, we need the elapsed time in years.

Calculate the total population growth over this

8

-year period.

2,800

people

Since the growth is linear, the total growth is the constant annual rate of change multiplied by the number of years.

Add the total population growth to the initial population from

2010

14,800

The population in

2018

is the initial population plus the total growth over the

8

-year period.

Key Concept

Linear growth represents a quantity that increases by a constant amount per unit of time.

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