GATE 2024 AR — Planning – Question 65

Urban Land Use and Transportation · Aggregate and disaggregate transport demand models and forecasting · 2 marks · Numerical answer

Present population 175000 grows 0.85% per year. Daily trips obey Y=142+0.675X, where X is population. Find daily trips after 10 years, as an integer.

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Correct answer: 128500 to 128800

Explanation

Compound population first: X=175000×1.0085¹⁰=190457.0592. Substitute this unrounded value into Y=142+0.675X to obtain 128700.5149 daily trips. Rounding the final result gives 128701 trips/day. The annual growth fraction is 0.0085; the fitted trip coefficient is then applied to the future population.

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