The population of a certain province increases by 10% each year. What will be the population of the province after five years from now if it is now 200,000?

Question

Help pls for assignment what formula will i use arithmetic or geometric

Answer 1

General form for exponential growth:

P(t) = P₀·(1 + rate)^t

• P(t) = population in year t
• P₀ = initial (starting) population = 200,000 people
• rate = growth rate expressed as a decimal = 10% = 0.10
• t = years = 5

 

P(t) = P₀·(1 + rate)^t

P(5) = 200,000)·(1 + 0.10)⁵

P(5) = 200,000·(1.1)⁵

 

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