To determine the number of people, [tex]\( x \)[/tex], who can go to the amusement park, we need to set up an equation based on the given information:
- The total amount of money available is [tex]$416.75.
- The parking cost is $[/tex]15.25.
- The ticket price per person is $36.50.
We can start by expressing the total cost in terms of [tex]\( x \)[/tex]. The total cost is composed of the parking cost plus the ticket cost for each person. This can be expressed as:
[tex]\[ \text{Total Cost} = \text{Parking Cost} + (\text{Ticket Cost per Person} \times \text{Number of People}) \][/tex]
Using the given values, this becomes:
[tex]\[ 416.75 = 15.25 + 36.50x \][/tex]
Therefore, the correct equation to determine [tex]\( x \)[/tex], the number of people who can go to the amusement park, is:
[tex]\[ 416.75 = 36.5x + 15.25 \][/tex]
So, the correct answer is:
[tex]\[ 416.75 = 36.5x + 15.25 \][/tex]
Among the given options, this equation matches:
[tex]\[ 416.75 = 36.5x + 15.25 \][/tex]
