Final answer:
To calculate the average future flow after 5 years with an annual increase of 10%, apply the compound interest formula to find that the future ADT is 8050 vehicles.
Step-by-step explanation:
The calculation of future traffic flow, given an annual increase percentage, involves applying the compound interest formula to estimate the Average Daily Traffic (ADT) after a specific period. In this scenario, with a 10% annual increase, the formula used is Future Value = Present Value * (1 + rate)^number of periods.
Given that the Present Value is the current ADT, set at 5000 vehicles, the rate is 10% (or 0.10), and the time period is 5 years, the calculation becomes: Future ADT = 5000 * (1 + 0.10)^5.
Executing this calculation results in: Future ADT = 5000 * (1.10)^5 = 5000 * 1.61051 = 8050.
Hence, the estimated Average Daily Traffic after 5 years, considering a 10% annual increase, is 8050 vehicles. This calculation illustrates the impact of compounding over time, reflecting how the traffic flow is projected to grow annually based on the given percentage increase.
Understanding future traffic projections is crucial for urban planning, infrastructure development, and traffic management. This type of analysis aids in anticipating and addressing potential challenges related to increased traffic volume, ensuring that transportation systems can accommodate future demands efficiently. The 10% annual increase, when compounded, leads to a significant growth in the Average Daily Traffic, emphasizing the importance of strategic planning for sustainable urban development.