Question

A band has been playing weekly at local venue. ​ ​They have been making a fixed amount, plus they receive additional money for every ticket sold. ​Last week they sold 40 40 tickets and were paid $ 200 $200. ​The week before that they sold 70 70 tickets and were paid $ 260 $260. ​ ​Let x x represent the number of tickets sold and y y represent the amount the band will be paid. ​Construct a linear function to represent the relationship between the number of tickets sold and the amount the band will be paid.

Answer 1

Ticket prices

According to the calculations made, the greater the number of tickets sold, the lower the variable amount to be paid for each ticket.

Since a band has been playing weekly at local venue, and they have been making a fixed amount, plus they receive additional money for every ticket sold, and last week they sold 40 tickets and were paid $ 200, while the week before that they sold 70 tickets and were paid $ 260, to determine the relationship between the number of tickets sold and the amount the band will be paid, the following calculation must be performed:

• 200/40 = X
• 5 = X
• 260/70 = X
• 3.71 = X

Therefore, the greater the number of tickets sold, the lower the variable amount to be paid for each ticket.

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