The telephone company offers two billing plans for local calls. Plan 1 charges ​$25 per month for unlimited calls and Plan 2 charges ​$11 per month plus ​$0.04 per call.

To determine the most cost-effective billing plan, let's break down the monthly charges for both plans and compare them.

- **Plan 1**: Flat rate of $25 per month for unlimited calls.
- **Plan 2**: Base fee of $11 per month plus $0.04 per call.

Let:
- $ x $ represent the number of calls made in a month.

### Plan 1 Cost: 
The cost is constant at $25 per month, regardless of the number of calls.

\[
C_1 = 25
\]

### Plan 2 Cost:
The cost is the base fee of $11 plus $0.04 per call, which can be expressed as:

\[
C_2 = 11 + 0.04x
\]

### To find when the two plans are equivalent:
Set the costs of both plans equal to each other:

\[
25 = 11 + 0.04x
\]

Solving for $ x $:

\[
25 - 11 = 0.04x
\]
\[
14 = 0.04x
\]
\[
x = \frac{14}{0.04} = 350
\]

### Conclusion:
- If you make fewer than 350 calls per month, Plan 2 will be cheaper.
- If you make more than 350 calls per month, Plan 1 will be cheaper.
- At exactly 350 calls, both plans cost the same.

Would you like more details on this or have any questions?

Here are five related questions you might want to explore:

1. What if the charge per call in Plan 2 changes? How does this affect the breakeven point?
2. How do the total costs vary if Plan 2 introduces a different base fee?
3. What happens if Plan 1 has a discount after a certain number of months?
4. How would the breakeven point change if a third plan is introduced?
5. How can we optimize our choice based on the average number of calls made per month?

**Tip**: Always calculate breakeven points to compare different pricing plans, especially when additional charges are involved!

The telephone company offers two billing plans for local calls. Plan 1 charges $25 per month for unlimited calls and Plan 2 charges $11 per month plus $0.04 per call.

Discover how to compare two billing plans for local calls: Plan 1 with a flat rate of $25 per month for unlimited calls, and Plan 2 with a base fee of $11 plus $0.04 per call. Learn the algebraic approach to find the breakeven point, making this suitable for Grades 6-8.

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