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Martin har 10 000 kroner på konto og ønsker å spare 750 kroner i måneden til han har mer enn 20 000 kroner på kontoen.

Martin har laget et flytdiagram som viser hvor mange måneder dette vil ta.

**Hvor mange måneder vil det ta, ifølge flytdiagrammet?**

Svar: måneder




To determine how many months it will take Martin to save more than 20,000 kroner based on the flowchart, let's follow the steps outlined:

1. **Initial balance:** Martin starts with 10,000 kroner.
2. **Monthly savings:** Martin adds 750 kroner to his balance every month.
3. **Check after each month:** After adding the savings, the flowchart checks whether the balance exceeds 20,000 kroner.
4. **Repeat:** If the balance does not exceed 20,000 kroner, the process repeats (adding 750 kroner each month).

### Steps to Calculate:

1. **Month 0:** Initial balance = 10,000 kroner
2. **Month 1:** New balance = 10,000 + 750 = 10,750 kroner
3. **Month 2:** New balance = 10,750 + 750 = 11,500 kroner
4. **Month 3:** New balance = 11,500 + 750 = 12,250 kroner
5. **Month 4:** New balance = 12,250 + 750 = 13,000 kroner
6. **Month 5:** New balance = 13,000 + 750 = 13,750 kroner
7. **Month 6:** New balance = 13,750 + 750 = 14,500 kroner
8. **Month 7:** New balance = 14,500 + 750 = 15,250 kroner
9. **Month 8:** New balance = 15,250 + 750 = 16,000 kroner
10. **Month 9:** New balance = 16,000 + 750 = 16,750 kroner
11. **Month 10:** New balance = 16,750 + 750 = 17,500 kroner
12. **Month 11:** New balance = 17,500 + 750 = 18,250 kroner
13. **Month 12:** New balance = 18,250 + 750 = 19,000 kroner
14. **Month 13:** New balance = 19,000 + 750 = 19,750 kroner
15. **Month 14:** New balance = 19,750 + 750 = 20,500 kroner (This is the first time the balance exceeds 20,000 kroner.)

**Answer:** It will take Martin **14 months** to exceed 20,000 kroner.

Would you like more details, or do you have any further questions? 

Here are 5 related questions you might find interesting:

1. How would the time change if Martin decided to save 1,000 kroner per month instead of 750 kroner?
2. What would happen if the initial balance was 5,000 kroner instead of 10,000 kroner?
3. How much money would Martin have saved by the 14th month?
4. Can you create a mathematical formula to represent this savings process?
5. How would the savings time change if the target balance was increased to 30,000 kroner?

**Tip:** When analyzing flowcharts, always follow the logic step-by-step, ensuring that each condition and loop is considered to reach the correct conclusion.

Discover how many months it will take Martin to save more than 20,000 kroner with his monthly savings plan of 750 kroner. Follow the step-by-step process based on Martin's flowchart to understand the arithmetic and sequences involved. Suitable for students in Grades 7-9.

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