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A traffic engineer needs to find out how much a local freeway is used. The freeway has 33 regular lanes and 11 carpool lane. One day, each regular lane averaged 304304 cars an hour, and the carpool lane averaged 191191 cars an hour. The engineer estimated that, in all, the lanes served about 500500 cars an hour. Is that a good estimate?\newlineChoices:\newline(A)Yes.\newline(B)No, it is much too high.\newline(C)No, it is much too low.

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Q. A traffic engineer needs to find out how much a local freeway is used. The freeway has 33 regular lanes and 11 carpool lane. One day, each regular lane averaged 304304 cars an hour, and the carpool lane averaged 191191 cars an hour. The engineer estimated that, in all, the lanes served about 500500 cars an hour. Is that a good estimate?\newlineChoices:\newline(A)Yes.\newline(B)No, it is much too high.\newline(C)No, it is much too low.
  1. Calculate Total Cars Regular Lanes: Calculate the total number of cars per hour for the regular lanes. Multiply the average cars per hour by the number of regular lanes.\newlineCalculation: 304 cars/hour×3 lanes=912 cars/hour.304 \, \text{cars/hour} \times 3 \, \text{lanes} = 912 \, \text{cars/hour}.
  2. Calculate Total Cars Carpool Lane: Calculate the total number of cars per hour for the carpool lane.\newlineCalculation: 191 cars/hour×1 lane=191 cars/hour.191 \, \text{cars/hour} \times 1 \, \text{lane} = 191 \, \text{cars/hour}.
  3. Add Total Cars Freeway: Add the totals from the regular lanes and the carpool lane to find the total cars per hour on the freeway.\newlineCalculation: 912912 cars + 191191 cars = 11031103 cars/hour.
  4. Compare Total with Estimate: Compare the calculated total with the engineer's estimate.\newlineCalculation: The engineer estimated 500500 cars/hour, but the calculation shows 11031103 cars/hour.

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