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City and Regional Planning QUESTION #4969
Question 1
In the Gravity Model for trip distribution, if the distance between zones A and B doubles while attractions remain constant, the trips between them will:
  • Reduce to half
  • Reduce to one-fourth✔️
  • Double
  • Remain unchanged
Correct Answer Explanation
The Gravity Model formula $T_{ij} = \frac{P_i \times A_j}{d_{ij}^n}$ shows trips are inversely proportional to distance raised to a power (typically 2). When distance doubles: $\frac{1}{(2d)^2} = \frac{1}{4d^2}$, reducing trips to one-fourth.