Question

a community pool charges a flat fee of $2 to enter the pool and $3 per person. select the equation that best represents this situation.
○ $y = 2x - 1$
○ $y = 2x + 1$
○ $y = 3x - 1$
○ $y = 3x + 2$

Explanation:

Step1: Define Variables

Let \( x \) be the number of people, and \( y \) be the total cost.

Step2: Analyze Costs

The flat fee is $2 (fixed cost), and the cost per person is $3 (variable cost, so \( 3x \)).

Step3: Formulate Equation

Total cost \( y = \) variable cost \( + \) fixed cost \( = 3x + 2 \).
Looking at the options, the last option (assuming it's \( y = 3x + 2 \)) matches. Wait, let's check the options again. Wait, maybe a typo in the user's image, but from the description: flat fee $2, $3 per person. So total cost \( y = 3x + 2 \). So among the options, if one is \( y = 3x + 2 \) (maybe the last option was miswritten, but assuming the last option is \( y = 3x + 2 \)), that's the correct one. Wait, the options given: let's re-express. The options are:

1. \( y = 2x - 1 \)
2. \( y = 2x + 1 \)
3. \( y = 3x - 1 \)
4. \( y = 3x + 2 \) (probably, maybe a typo in the image, but the logic is: fixed fee $2, $3 per person, so \( y = 3x + 2 \)).

So the correct equation is \( y = 3x + 2 \), which should be the last option.

Answer:

The correct option is the one with \( y = 3x + 2 \) (assuming the last option is \( y = 3x + 2 \), e.g., if the last option is written as \( y = 3x + 2 \), then that's the answer. Based on the problem description, the equation is \( y = 3x + 2 \), so the corresponding option (likely the fourth one) is the answer.