Future Traffic Volume with Growth Rate

Easytransportation planninggrowth
A road segment currently carries a peak-hour volume of 1,800 veh/h, and traffic is forecast to grow at 3% per year compounded. The peak-hour volume after 15 years is most nearly:
  1. A2,340 veh/h
  2. B2,610 veh/h
  3. C2,800 veh/h
  4. D3,240 veh/h
Show solution

Answer: C. 2,800 veh/h

Compound growth gives Vₙ = V₀(1 + r)ⁿ = 1,800(1.03)¹⁵ = 1,800(1.558) ≈ 2,800 veh/h. Applying the growth rate as simple interest, 1,800[1 + (0.03)(15)] = 2,610 veh/h, understates the result because it ignores compounding.
Practice this deckUntimed, one problem at a time, with your progress saved.

Related problems

Keep studying