Since the cost of the event contains 2 parts
1. A fixed amount of $250
2. $55 per person
Let the number of attendees = x, then
Multiply x by $55, then add the product to $250
The total cost for x attendees is
[tex]C=250+55x[/tex]To find the charge of each attendee, divide the total cost by the number of attendees
[tex]\begin{gathered} \text{Charge for attende}e=\frac{C}{x} \\ \text{Charge for attende}e=\frac{250+55x}{x} \end{gathered}[/tex]The answer is
[tex]\frac{250+55x}{x}[/tex]