To find out how much is charged to your debit card, we first need to calculate the total cost of all items purchased.
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Calculate the cost of gasoline: \[ \text{Cost of gasoline} = 8.5 , \text{gallons} \times 2.55 , \frac{\text{dollars}}{\text{gallon}} = 21.675 , \text{dollars} \]
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Add the cost of gum and windshield wiper fluid: \[ \text{Cost of gum} = 0.75 , \text{dollars} \] \[ \text{Cost of windshield wiper fluid} = 6.97 , \text{dollars} \] \[ \text{Total before tax} = 21.675 + 0.75 + 6.97 = 29.395 , \text{dollars} \]
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Calculate the sales tax on food items (gum and wiper fluid): \[ \text{Only gum is taxed at 4%:} \quad \text{Tax on gum} = 0.75 \times 0.04 = 0.03 , \text{dollars} \]
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Add the tax to the total: \[ \text{Total after tax} = 29.395 + 0.03 = 29.425 , \text{dollars} \]
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Calculate the amount to be charged to the debit card: \[ \text{Cash given} = 20.00 , \text{dollars} \] \[ \text{Amount charged to debit card} = 29.425 - 20.00 = 9.425 , \text{dollars} \]
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Round to the nearest cent: \[ \text{Amount charged to debit card} = 9.43 , \text{dollars} \]
Therefore, the amount charged to your debit card is $9.43.
The correct response is: $9.43