The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5.50 and each adult ticket sells for $9.50. The drama club must make at least $660 from ticket sales to cover the show's costs. Write an inequality that could represent the possible values for the number of student tickets sold, s, and the number of adult tickets sold, a, that would satisfy the constraint. Answer:

Question

The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for  $5.50 and each adult ticket sells for  $9.50. The drama club must make at least  $660 from ticket sales to cover the show's costs. Write an inequality that could represent the possible values for the number of student tickets sold,  s, and the number of adult tickets sold,  a, that would satisfy the constraint. Answer:

Bytelearn · Accepted Answer

Define Variables: Let's define the variables: s = number of student tickets sold a = number of adult tickets sold The price for each student ticket is $5.50, and the price for each adult ticket is $9.50. The drama club needs to raise at least $660.Write Total Money Equation: We can write an equation to represent the total amount of money raised from ticket sales: Total money from student tickets = 5.50 * s Total money from adult tickets = 9.50 * a Total money raised = 5.50 * s + 9.50 * aFormulate Fundraising Inequality: The drama club needs to raise at least $660, so the total money raised must be greater than or equal to $660. We can write this as an inequality: 5.50 * s + 9.50 * a ≥ 660Interpret Relationship: This inequality represents the relationship between the number of student tickets sold and the number of adult tickets sold that will allow the drama club to meet or exceed their fundraising goal of $660.

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