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Difficulty: MediumRatio, Proportion, and Percent Calculations

The table below presents operational metrics for municipal EV charging infrastructure across six urban transit sectors in 2025.

Transit SectorTotal EV StationsFast-Charging StationsTotal Energy Delivered (MWh)Commercial Fleet Usage (MWh)
Sector Alpha120364,8001,440
Sector Beta200807,5003,000
Sector Gamma150455,0001,250
Sector Delta90543,6002,160
Sector Epsilon160326,4001,600
Sector Zeta80482,8001,960

Evaluate the following statement as True or False based on the information provided:

Among all transit sectors where fast-charging stations constitute at least 40%40\% of the total EV stations, the overall proportion of total energy delivered that was consumed by commercial fleets is greater than 50%50\%.

Answer: Answer

Answer

True
The qualifying sectors (Beta, Delta, Zeta) have a combined commercial fleet energy consumption of 7,1207,120 MWh out of 13,90013,900 MWh total energy delivered, yielding an overall percentage of 51.22%51.22\%, which exceeds 50%50\%.

Step-by-Step Solution

1
Calculate the fast-charging station percentage for each transit sector to filter qualifying sectors.
Sectors Beta (40%40\%), Delta (60%60\%), and Zeta (60%60\%) qualify with fast-charging proportions ≥40%\ge 40\%.
Filtering rows based on a specified threshold is required before aggregating cross-column data.
2
Sum the total energy delivered and commercial fleet energy usage for the qualifying sectors.
Total energy delivered = 7,500+3,600+2,800=13,9007,500 + 3,600 + 2,800 = 13,900 MWh. Commercial fleet usage = 3,000+2,160+1,960=7,1203,000 + 2,160 + 1,960 = 7,120 MWh.
Calculating weighted overall percentages requires finding the sum of part values over the sum of whole values.
3
Compute the overall commercial fleet energy percentage for the qualifying sectors.
\frac{7,120}{13,900} \approx 51.22\%, which is strictly greater than 50\%.
Demonstrates whether the statement's inequality condition holds true.

Key Concept

Weighted Aggregated Percentage Calculation from Filtered Table Rows
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Topics

Ratio, Proportion, and Percent Calculations

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