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Let's solve the given questions step-by-step.

### a) What does Staffan have to pay in total to the driving school if he takes 12 extra driving lessons?

The base cost for theory and mandatory driving lessons is 6500 SEK. The cost per extra driving lesson is 500 SEK. If Staffan takes 12 extra lessons, the total cost can be calculated as:

\[
\text{Total cost} = \text{Base cost} + (\text{Number of extra lessons} \times \text{Cost per extra lesson})
\]

\[
\text{Total cost} = 6500 + (12 \times 500) = 6500 + 6000 = 12500 \, \text{SEK}
\]

So, Staffan has to pay **12,500 SEK**.

### b) Sara has paid 8000 SEK to the driving school. How many extra driving lessons did she take?

We need to find out how many extra lessons, \( n \), Sara took. Using the same formula, where the total cost is given as 8000 SEK:

\[
8000 = 6500 + (n \times 500)
\]

Solving for \( n \):

\[
8000 - 6500 = n \times 500
\]
\[
1500 = n \times 500
\]
\[
n = \frac{1500}{500} = 3
\]

So, Sara took **3 extra driving lessons**.

### c) Write a formula that describes how much one should pay in total to the driving school if one takes a driving course and \( x \) extra driving lessons.

The formula to calculate the total cost with \( x \) extra driving lessons is:

\[
\text{Total cost} = 6500 + 500x
\]

Where:
- 6500 SEK is the base cost.
- 500x is the cost for \( x \) extra lessons, with each lesson costing 500 SEK.

Would you like to discuss any specific part in more detail or have any questions?

### Related Questions:
1. What would be the total cost if one takes 15 extra driving lessons?
2. How much does each extra driving lesson increase the total cost?
3. If someone has a budget of 10,000 SEK, how many extra lessons can they afford?
4. What would be the total cost for taking no extra driving lessons?
5. If the price per extra lesson increased to 600 SEK, how would the formula change?

### Tip:
When dealing with problems like these, creating a formula first makes it easier to handle various scenarios quickly.

När man skall ta körkort i en bilskola i Trollhättan kostar teorin och de obligatoriska körlektionerna tillsammans 6500 kr. De extra körlektionerna kostar 500 kr per lektion. a) Vad får Staffan betala sammanlagt till bilskolan om han tar 12 extra körlektioner? b) Sara som just är klar med körkortet har betalat 8000 kr till bilskolan. Hur många extra körlektioner tog hon? c) Skriv en formel som beskriver hur mycket man skall betala sammanlagt till bilskolan om man genomgår en körkortsutbildning och tar x extra körlektioner.

Learn how to calculate the total cost for driving lessons, including extra lessons at 500 SEK each. Solve real-world problems using algebraic formulas. Perfect for students in Grades 8-10.

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