Ask a New Question
Menu

The local business will donate $5.00 for every 10 tickets sold. Let x represent tickets sold, and y represent dollars donated. Student A claims that the equation is y = 2x. Student B claims that the equation is y = 1

2
x. Explain who is correct. keep it short and identify the input and output variables

1 answer

In this scenario, the input variable (independent variable) is the number of tickets sold (x), and the output variable (dependent variable) is the dollars donated (y).

The donation structure states that the local business donates $5.00 for every 10 tickets sold. This means for every 10 tickets, $5 is donated.

  1. For every ticket sold, the donation is \( \frac{5}{10} = 0.5 \) dollars per ticket.
  2. Therefore, the correct relationship is \( y = 0.5x \).

Now let's analyze the claims:

  • Student A's claim: \( y = 2x \) (incorrect, this implies $2 donation per ticket)
  • Student B's claim: \( y = \frac{1}{2}x \) (correct, this implies $0.50 donation per ticket)

Conclusion: Student B is correct.