Let's break down the problem step by step to determine the appropriate inequality for finding the maximum number of people, [tex]\( x \)[/tex], who can go to the amusement park.
1. Identify the total money available:
The group has a maximum amount of [tex]$295.
2. Identify the costs involved:
- Parking cost is $[/tex]11.50.
- The cost of a ticket per person is [tex]$39.
3. Set up the cost equation:
The total cost will be the sum of the parking cost and the cost of tickets for \( x \) number of people.
Parking cost: $[/tex]11.50
Ticket cost for [tex]\( x \)[/tex] people: [tex]$39x
Therefore, the total cost for \( x \) people can be expressed as:
\[
39x + 11.5
\]
4. Set up the inequality:
Since the group cannot spend more than $[/tex]295, the total cost must be less than or equal to $295. This can be written as:
[tex]\[
39x + 11.5 \leq 295
\][/tex]
Rewriting this inequality, it becomes:
[tex]\[
295 \geq 39x + 11.5
\][/tex]
Therefore, the correct inequality that can be used to determine the maximum number of people who can go to the amusement park, [tex]\( x \)[/tex], is:
[tex]\[
295 \geq 39x + 11.5
\][/tex]
