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The problem asks which inequality represents the situation where Nath wants to park, given that the parking meter charges $2 initially plus $0.75 per hour, and he only has $5.

The total cost of parking for $ x $ hours can be modeled as:
\[
2 + 0.75x
\]
Nath has $5, so the cost must be less than or equal to $5. The correct inequality is:
\[
2 + 0.75x \leq 5
\]

This inequality ensures that the total cost does not exceed $5.

Thus, the correct answer is:
\[
2 + 0.75x \leq 5
\]

Would you like more details on how to solve inequalities or questions on parking cost models?

### 5 Related Questions:
1. How would the inequality change if the hourly rate was $1 instead of $0.75?
2. How would you solve the inequality $ 2 + 0.75x \leq 5 $ to find the maximum hours Nath can park?
3. What happens if Nath had $7 instead of $5? How would the inequality change?
4. What inequality represents the scenario where Nath can spend more than $5?
5. How would the inequality look if the flat fee was removed and only $0.75 per hour was charged?

### Tip:
When solving word problems, it's helpful to define your variable and write out the relationship between quantities clearly before jumping into calculations.

The parking meter charges $2 for the parking space, then $0.75 each hour. Nath only has $5. Which inequality can be used to determine the number of hours he can park?

Determine how long Nath can park with only $5, given that the parking meter charges $2 upfront and $0.75 per hour. This algebra problem uses inequalities to model the cost scenario and solve for the maximum parking hours.

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