Final answer:
Student B is correct with the equation y = 1/2x because the business donates $0.50 per ticket sold, thus for x tickets sold, the donation is 0.5x dollars.
Step-by-step explanation:
The issue at hand is to determine the correct equation that represents the local business's donation scheme, based on the number of tickets sold. According to the information provided, $5.00 is donated for every 10 tickets sold. If we let x represent the number of tickets sold and y represent dollars donated, then we can calculate the ratio of dollars donated per ticket sold, which is $5.00 / 10 tickets = $0.50 per ticket. This means that for every ticket sold, $0.50 is donated.
Therefore, if x tickets are sold, the donated amount y would be y = $0.50 × x. To express this as an equation in terms of y and x, we get y = 0.5x. Comparing this to the claims made by students, we can see that Student B's claim that y = 1/2x is correct. Student A's equation y = 2x would imply $2 donated per ticket sold, which is not in line with the given donation scheme.