Question

The LNHS Lions stadium seats about 2,000 people. The tickets sell for $6 each. The function f(x) = 6x represents the situation where x is the number of people in attendance and f(x) is the amount of money LNHS makes as revenue. What is the DOMAIN of the situation?

a) X ≥ 0
b) X > 0 and X ≤ 2,000
c) X ≥ 2,000
d) X = 6

Answer 1

The domain of the function that represents the revenue for tickets sold at the LNHS Lions stadium is the set of all possible attendees, ranging from 0 to the stadium's capacity, 2,000. Therefore, the domain is option b) X > 0 and X ≤ 2,000.

Step-by-step explanation:

The domain of a function represents all the possible input values (x-values) for which the function is defined. In the context of the LNHS Lions stadium, the domain would be the range of possible attendees that can be present at the stadium. Since the stadium can hold 2,000 people, and it's not practical to have negative attendance, the domain is the number of people that could possibly buy tickets, which includes the possibility of no one buying a ticket (meaning x could be zero).

Answering the question, the domain of the situation 'f(x) = 6x,' where x represents the number of people in attendance at the LNHS Lions Stadium, would be:

0 ≤ x ≤ 2,000

This includes the possibility of having zero attendees (if no tickets are sold) up to the maximum capacity of the stadium, which is 2,000 attendees. Thus, the correct answer for the domain of the situation is option b) X > 0 and X ≤ 2,000.