Answer: The correct option is
(D) x represents the number of level 1 tickets; y represents the number of level 2 tickets
Step-by-step explanation: Given that a sports team came to town. The stadium filled all 10,000 seats at two-level pricing. Level 1 tickets are $50 each, and level 2 tickets are $150 each. The stadium made $75,000 in ticket sales.
The system of equations that models this scenario is:
x + y = 10,000
50x + 150y = 75,000
We are to find the terms that x and y represents.
Since the total number of seats is 10000 and it is given that x + y = 10000, so x and y represents the number of tickets.
Also, since the price of one level 1 tickets is $50 and that of one level 2 ticket is $150 and 50x + 150y = 75000, so
x represents the number of level 1 tickets; y represents the number of level 2 tickets.
Thus, (D) is the correct option.