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the population of a town is increasing by 612 people per year. state wh…

Question

the population of a town is increasing by 612 people per year. state whether this growth is linear or exponential. if the population is 1300 today, what will the population be in five years?

is the population growth linear or exponential?
linear
exponential

what will the population be in five years?

Explanation:

Determine the type of growth

The population increases by a constant absolute number of people each year (\(612\) people/year). A constant rate of change per unit time characterizes linear growth.

Calculate the population in five years

Using the linear growth model:

$$ P(t) = P_0 + r \cdot t $$

Substitute the given values:

$$ LATEXBLOCK0 $$

Answer:

Question 1

  • linear (Correct answer)
  • exponential

Question 2

The population in five years will be <blank>4360</blank>.