Answer :
The correct answer is 0.77 gallons.
To convert 2.9 liters to gallons, multiply by the conversion factor from liters to quarts, then divide by the conversion factor from quarts to gallons ensuring the result has the same number of significant digits as the given value. The correct answer is 0.77 gallons.
The question is asking to convert 2.9 liters to gallons. First, we should convert liters to quarts using the given relation, 1 L = 1.0567 qt. We multiply 2.9 L by this factor:
2.9 L imes 1.0567 qt/L = 3.0644 qt
Now, we must convert quarts to gallons. Since 4 qt = 1 gal, we divide the number of quarts by 4 to get gallons:
3.0644 qt / 4 qt/gal = 0.7661 gal
Therefore, 2.9 liters is equal to approximately 0.7661 gallons. However, in terms of significant digits, since 2.9 has two significant digits, our answer should also have two significant digits. The answer is rounded to 0.77 gal.
