Question

the population of a town is increasing by 602 people per year. state whether this growth is linear or exponential. if the population is 1100 today, what will the population be in three years?

is the population growth linear or exponential?
exponential
linear

what will the population be in three years?

Explanation:

Identify the type of growth

Using the Linear Growth knowledge point

• The population increases by a constant absolute amount of 602 people per year.
• A constant absolute change per unit of time characterizes linear growth.

Calculate the population in three years

Using the Linear Growth and Population Trend Prediction knowledge points

• Initial population \(P_0 = 1100\)
• Annual growth rate \(d = 602\) people/year
• Time \(t = 3\) years
• Future population \(P(t) = P_0 + d \cdot t\)

$$ P(3) = 1100 + 602 \cdot 3 = 1100 + 1806 = 2906 $$

Answer:

Question 1

• exponential
• linear (Correct answer)

Question 2

The population in three years will be <blank>2906</blank>.