Understanding Gas Mileage and Estimates

The video tutorial discusses whether Mary's statement about her car's mileage is reasonable. It explains that while the math seems correct, the statement assumes exact mileage rather than an estimate. The tutorial highlights the difference between estimated and exact values, considering factors like driving conditions and fuel octane. It evaluates different answer choices, concluding that the statement is not reasonable due to the reliance on an estimate rather than an exact figure.

What is the estimated gas mileage of the car Mary is considering?

• 28 miles per gallon

• 24 miles per gallon

• 20 miles per gallon

• 30 miles per gallon

Why might Mary's statement about the car traveling exactly 288 miles be considered unreasonable?

• The car can only travel 200 miles on a full tank.

• The car's tank is only 10 gallons.

• The car's mileage is an estimate, not an exact figure.

• The car's mileage is exactly 30 miles per gallon.

What is the difference between an estimate and an exact measurement in the context of gas mileage?

• An estimate and an exact measurement are the same.

• An estimate is always lower than the exact measurement.

• An estimate is always higher than the exact measurement.

• An estimate is a rounded figure, while an exact measurement is precise.

What assumption is Mary making about the car's mileage?

• That the car can travel more than 288 miles.

• That the car's mileage is exactly 24 miles per gallon.

• That the car's mileage is less than 24 miles per gallon.

• That the car's mileage is irrelevant.

Which of the following factors can affect a car's gas mileage?

• The time of day

• The color of the car

• The type of road and driving conditions

• The brand of the car

Why is it difficult to calculate the exact distance a car can travel on a full tank?

• Because the car's speed is always changing

• Because the car's mileage is an estimate and varies with conditions

• Because the car's tank size is unknown

• Because the car's engine is unpredictable

How does the octane of the fuel affect the car's mileage?

• Lower octane always increases mileage.

• Higher octane always increases mileage.

• Different octane levels can cause variations in mileage.

• Octane level has no effect on mileage.

What is the main reason the dealership's mileage figure is an estimate?

• It is a guess by the dealership.

• It is based on a single test drive.

• It is calculated using a complex formula.

• It is an average of many tests under various conditions.

What is the correct answer to the question about the car's mileage?

• No, the distance is found by dividing miles per gallon by gallons.

• Yes, the estimated mileage can be used for exact calculations.

• No, the car's mileage is an estimate and cannot be exact.

• Yes, the car will travel exactly 288 miles.

What is the mathematical error in option D regarding the car's mileage?

• It adds miles per gallon to gallons.

• It subtracts gallons from miles per gallon.

• It incorrectly divides miles per gallon by gallons.

• It multiplies miles per gallon by gallons.