Question

Student council is renting a tent for $350 for an upcoming student fair. Each student attending the fair will pay $0.50. All other attendees will pay $2.25 each. Write an inequality to represent the situation where s represents the number of students and a represents the other attendees that are paying. (4 points)

Answer 1

To represent this situation with an inequality, we first need to consider the total revenue generated from both students and other attendees compared to the cost of renting the tent, which is $350.

1. The revenue from students: Since each student pays $0.50, the total revenue from students can be expressed as \(0.50s\).

2. The revenue from other attendees: Since each other attendee pays $2.25, the total revenue from them can be expressed as \(2.25a\).

The total revenue from both groups is the sum of these two amounts, which can be written as:

\[ 0.50s + 2.25a \]

To ensure that the revenue covers the cost of the tent, we want this total revenue to be at least $350:

\[ 0.50s + 2.25a \geq 350 \]

So, the inequality representing the situation is:

\[ 0.50s + 2.25a \geq 350 \]