https://file.aiquickdraw.com/mathbot/file/1726537178436h28vaq82.jpg

The problem in the image involves a one-time purchase of a phone and a recurring monthly phone plan cost. Let's break it down and write an equation for the total cost $ C(t) $ for $ t $ months:

1. **Phone cost**: The initial one-time cost of the phone is $85.
2. **Monthly plan cost**: The monthly phone plan is $116.92.

The total cost $ C(t) $ for $ t $ months would be the sum of the one-time phone cost and the total monthly charges for $ t $ months.

The equation can be written as:
\[
C(t) = 85 + 116.92t
\]
Where:
- $ C(t) $ is the total cost after $ t $ months.
- $ 85 $ is the one-time cost of the phone.
- $ 116.92t $ represents the cost for $ t $ months of service.

Now, let's calculate the cost for 21 months:
\[
C(21) = 85 + 116.92 \times 21
\]
I'll calculate that next.The total cost for 21 months would be **$2540.32**.

Let me know if you want more details or have any questions! Here are some related questions:

1. What would the cost be after 12 months using the same plan?
2. How much does the user pay just for the phone plan over 21 months (without the phone)?
3. If the monthly cost increases by $10, how much would the new total cost be for 21 months?
4. How would the equation change if there were an additional activation fee of $50?
5. How much would the user save if the phone was discounted by 10%?

**Tip**: When calculating recurring payments, always break down the problem into fixed (one-time) and variable (monthly) costs.

A person buys a phone for $85 and signs up for a single-line phone plan with 2000 monthly anytime minutes. The phone plan costs $116.92 per month. Write an equation that can be used to determine the total cost C(t) of this phone plan for t months. Then, find the cost for 21 months.

Learn how to calculate the total cost of a phone plan with a one-time payment of $85 and a monthly cost of $116.92. This problem covers basic linear equations and algebra, suitable for students in Grades 7-9.

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