A group of friends wants to go to the amusement park. They have no more than $605 to spend on parking and admission. Parking is $17.25, and tickets cost $37.25 per person, including tax. Which inequality can be used to determine pp, the maximum number of people who can go to the amusement park?

Answer 1

To determine the maximum number of people \( p \) who can go to the amusement park while staying within the budget of $605, we can set up the following inequality.

1. The total cost includes the parking fee plus the cost of admission for all people in the group.
2. The parking cost is $17.25.
3. The admission cost per person is $37.25.

The total cost can be expressed as:

\[ \text{Total Cost} = \text{Parking Cost} + (\text{Cost per Person} \times \text{Number of People}) \]

Substituting in the values we know:

\[ \text{Total Cost} = 17.25 + 37.25p \]

To stay within their budget of $605, we set up the inequality:

\[ 17.25 + 37.25p \leq 605 \]

This inequality can be used to determine the maximum number of people \( p \) who can go to the amusement park.