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Let's break down the problem:

The rental car costs:
- A one-time fee of $150.
- An additional $80 per day.

The Nawa family's total bill is $470. We need to determine how many days they rented the car.

### Setting up the equation:
Let $ x $ represent the number of days the car was rented. The total cost equation can be expressed as:
\[
\text{Total cost} = 150 + 80x
\]
Where $ 150 $ is the one-time fee, and $ 80x $ is the daily fee.

The total cost is given as $470, so:
\[
150 + 80x = 470
\]

### Solving the equation:
1. Subtract 150 from both sides:
   \[
   80x = 470 - 150
   \]
   \[
   80x = 320
   \]

2. Divide both sides by 80:
   \[
   x = \frac{320}{80}
   \]
   \[
   x = 4
   \]

Thus, the Nawa family rented the car for **4 days**. The correct answer is **C. 4**.

Would you like more details, or do you have any questions about this solution?

### Related questions:
1. What would the total cost be if the Nawa family rented the car for 5 days?
2. If the one-time fee increased to $200, how many days would they need to rent the car to reach a total of $470?
3. How much would it cost to rent the car for 10 days?
4. If the family rented the car for only 2 days, what would their total bill be?
5. What would be the total bill if the rental fee per day increased to $100 but they rented it for 4 days?

### Tip:
Whenever solving word problems involving costs and rates, clearly define the variables and set up equations based on the information provided to avoid confusion.

A rental car costs a one-time fee of $150 and then an additional $80 for each day it is rented. If the Nawa family's total bill was $470, how many days did they rent the car?

Learn how to calculate the number of days a rental car was rented based on a total cost of $470, including a one-time fee of $150 and $80 per day. This problem uses basic algebra and linear equations and is suitable for students in Grades 6-8.

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