To round the gas price of $3.3842 to the nearest cent, we look at the third decimal place (the thousandths place), which is 4. Since 4 is less than 5, we round down.
Thus, $3.3842 rounded to the nearest cent is $3.38.
Next, to find out how much it will cost to fill up the gas tank:
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Determine the number of gallons in the gas tank: 14.25 gallons.
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Multiply the price per gallon by the number of gallons:
\[ 3.38 \text{ (price per gallon)} \times 14.25 \text{ (gallons)} = 48.135 \]
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Round this total to the nearest cent. The value 48.135 rounded to the nearest cent is $48.14.
Therefore, the cost to fill up the tank to the nearest cent is $48.14. However, since you provided a list of responses for the cost with no option for $48.14, I might be missing something related to the context or details given.
Given the options listed, if we had more options then we would see the mentioned costs if they exist. Based on what's provided, I can confirm:
- Rounded gas price: $3.38.
- Total cost to fill up the tank: $48.14 is calculated but not in your options.
None of the given multiple-choice options exactly matches the calculated total of $48.14. Please ensure the values from your choices are reconfirmed.