To determine how many months Maya's cell phone bill covers, we can break down the costs and use the appropriate operations.
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Identify total costs: The total bill is $412, and this includes a $100 activation fee and a monthly charge of $52.
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Subtract the activation fee from the total bill: \[ \text{Cost for months} = \text{Total bill} - \text{Activation fee} = 412 - 100 = 312 \]
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Determine the number of months covered: Now that we know the total amount that is for the months of service, we can find out how many months that $312 covers by dividing by the monthly charge of $52: \[ \text{Number of months} = \frac{\text{Cost for months}}{\text{Monthly charge}} = \frac{312}{52} = 6 \]
Operations Needed:
- Subtraction (to remove the activation fee from the total bill).
- Division (to determine how many months the remaining balance covers).
Therefore, the answer is that the bill covers 6 months.