Question

Emma is organizing a party for 55 guests. She has to pay $80 to an event organizer to help her plan and her expenses are $10 per person, plus a $2 fee for each picture the guests take in the photo booth. Write an equation that represents the relation ship between the number of guest the cost of the organizer and the numbers of photos taken?

Answer 1

The equation that represents the relationship between the cost of the organizer, the number of guests, and the number of photos taken at the party is C = 80 + 10 × 55 + 2P, where C is the total cost and P is the number of pictures taken.

Step-by-step explanation:

The student is asking how to write an equation that relates the cost of organizing a party with the number of guests and the number of photos taken in the photo booth. To set up the equation, we will use a fixed cost for the event organizer, a per person expense, and a per photo charge. The total cost (C) for Emma's party can be represented as:

C = fixed cost for organizer + (cost per person × number of guests) + (photo fee per picture × number of pictures taken)

Given the fixed cost for the organizer is $80, the cost per person is $10, and the photo fee is $2, the equation becomes:

C = 80 + 10 × 55 + 2P

Where P represents the number of pictures taken at the photo booth.