Civil Engineering MCQAE Level Civil Engineering

In the geometric increase method for population forecasting, the population after n decades is:

Environmental EngineeringPopulation Forecast GeometricMEDIUM

Choose the correct answer

A

P_n = P_0 + n x (dP/dt)

B

P_n = P_0 x (1 + r/100)^n

C

P_n = P_0 + n x Ig

D

P_n = (P_0 + P_f)/2

Correct Answer

B. P_n = P_0 x (1 + r/100)^n

Why is this the answer?

Geometric (exponential) method: P_n = P0 x (1 + Ig/100)^n, where Ig = geometric growth rate per decade (%). Used for cities in growth phase. Arithmetic: P_n = P0 + n x Ia. Geometric gives higher projections; arithmetic is conservative.

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