Parsons Bank offers two​ checking-account plans. The No Frills plan charges 50 cents per check whereas the Simple Checking plan costs ​$7 per month plus 25 cents per check. The Simple Checking plan will cost less if more than checks are used per month.

To determine when the Simple Checking plan becomes more cost-effective than the No Frills plan, let's set up an inequality.

### Let:
- $ x $ be the number of checks written per month.

### Costs:
1. **No Frills Plan**: The cost is $ 0.50x $ dollars (50 cents per check).
2. **Simple Checking Plan**: The cost is $ 7 + 0.25x $ dollars ($7 per month plus 25 cents per check).

### Find when the Simple Checking plan costs less:
We need to solve the inequality:
\[
7 + 0.25x < 0.50x
\]

### Solving the inequality:
1. Subtract $ 0.25x $ from both sides:
   \[
   7 < 0.25x
   \]
2. Divide both sides by 0.25:
   \[
   x > \frac{7}{0.25}
   \]
   \[
   x > 28
   \]

### Conclusion:
The Simple Checking plan will cost less if more than 28 checks are used per month.

Would you like more details or have any questions? Here are some related questions you might find useful:

1. What would the costs be for writing exactly 28 checks with each plan?
2. How would the cost comparison change if the Simple Checking plan charged $8 per month instead of $7?
3. What if the No Frills plan charged 40 cents per check instead of 50 cents?
4. How many checks should be written for both plans to have the same cost?
5. How does the cost advantage of each plan change as the number of checks increases?

**Tip:** When comparing costs, set up equations or inequalities to find the break-even point.

Learn how to compare Parsons Bank's checking account plans: No Frills and Simple Checking. Discover when the Simple Checking plan becomes more cost-effective than the No Frills plan based on the number of checks written per month. Suitable for advanced high school students and those interested in financial analysis.

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