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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]
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]
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