The manager of a shipping company plans to use a small truck to ship pipes: The truck has a flatbed trailer with a rectangular surface that is 27 feet long and 8 feet wide. The truck will travel from Atherton to Bakersfield, where some pipes will be delivered, and then on to Castlewood to deliver the remaining pipes. The map shows the roads that connect Atherton. Bakersfield. and Castlewood.
The manager is planning to buy a new truck with better gas mileage. He collected data bout the gas mileage of one of the company's trucks. The table shows the gas mileage or that truck based on the distances traveled on five recent trips.
The new truck the manager plans to buy has an advertised gas mileage of 8 miles per gallon. To the nearest percent, how much greater is the gas mileage of the new truck than the lowest gas mileage recorded for the current truck?

Rationale

33

The new truck's advertised gas mileage of 8 miles per gallon is 33% greater than the lowest recorded gas mileage of the current truck, which is 6 miles per gallon. This comparison illustrates the improvement in efficiency that the manager can expect from the new vehicle.

A (14) YOUR ANSWER

This choice suggests a minimal increase in gas mileage, which does not accurately reflect the difference between the new truck's 8 MPG and the lowest gas mileage of 6 MPG. The correct percentage increase is significantly higher, making this option incorrect.

B (25) YOUR ANSWER

Selecting 25% implies a moderate increase in gas mileage. However, calculating the percentage increase from 6 to 8 MPG results in a greater difference of 33%, thereby rendering this option inaccurate.

C (23) YOUR ANSWER

This option underestimates the improvement as it suggests a 23% increase. The calculation of the percentage increase from 6 MPG to 8 MPG shows a difference of 2 MPG, which translates to an increase of 33%, thereby disproving this choice.

D (33) CORRECT

This choice accurately reflects the percentage increase in gas mileage. The calculation (8 - 6) / 6 = 1/3, or approximately 33%, confirms that the new truck's gas mileage is indeed 33% greater than the lowest recorded mileage of the current truck.

Conclusion

In conclusion, the new truck offers a significant improvement in fuel efficiency, with its gas mileage of 8 miles per gallon representing a 33% increase over the lowest recorded gas mileage of the current truck at 6 miles per gallon. This enhancement is crucial for the shipping company's operational efficiency and cost-effectiveness in fuel consumption.

33

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