Final answer:
Using an equation to account for all costs, at least 22 people are required to cover the bus rental and additional fees. Considering the closest available answer choice, 25 people must attend to cover the total cost.
Step-by-step explanation:
To determine how many people must attend the club trip to cover the total cost of renting the bus, we need to set up an equation. The total cost of the trip consists of the bus rental fee, a per person cost, and a flat fee. We are told that it costs $600 to rent the bus, there's an additional $30 cost per person, and a flat fee of $50.
The equation to calculate the total cost (TC) based on the number of people (n) would be:
TC = $600 + ($30 × n) + $50.
The club needs to collect at least $600 (bus cost) + $50 (flat fee) from the attendees. To find out how many people must attend (n), we need to solve the equation for when the total cost equals the total amount collected from the attendees:
$600 + $50 + ($30 × n) = $30 × n
n = ($600 + $50) / $30
n = $650 / $30
n ≈ 21.67.
Since we cannot have a fraction of a person, at least 22 people must attend to cover the total cost. However, the answer choices are 15, 20, 25, and 30. Thus, the least number from the answer choices that would cover the costs is 25 people.