Question

Mira’s cell phone bill was $412. She had to pay an activation fee of $100. It also costs $52 per month for the phone. How many months does this bill cover? Identify the operations needed to solve this problem.(1 point)
Responses

subtraction and multiplication
subtraction and multiplication

addition and multiplication
addition and multiplication

subtraction and division
subtraction and division

addition and division
GPT-4o mini
To solve the problem, we need to determine how many months the bill covers. First, we'll start by isolating the monthly costs from the total bill.

1. **Total Bill:** $412
2. **Activation Fee:** $100 (this is a one-time cost)
3. **Monthly Cost:** $52

To find the total amount paid for the months of service, we first subtract the activation fee from the total bill:

\[ 412 - 100 = 312 \]

Now we have the total cost for the months of service, which is $312.

Next, to find the number of months covered by this bill, we divide the remaining cost by the monthly cost:

\[ 312 \div 52 = 6 \]

Thus, the bill covers 6 months.

The necessary operations to solve the problem are **subtraction** (to remove the activation fee) and **division** (to find the number of months in the remaining amount).

The correct response is:

**subtraction and division**

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