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A drama club must sell at least $1,500 worth of tickets to cover the expenses of producing a play. Write an inequality that represents how many adult, $x$ , and student, $y$ , tickets the club must sell.

Respuesta :

Answer

[tex]Ax + By \geq 1500[/tex]

Step-by-step explanation:

the ticket prices for an individual adult and student is not given in the question. But no worries! Let's say:

  • the ticket price for an adult is [tex]A[/tex], and
  • the ticket price for a student is [tex]B[/tex].

from the question we can pick out that

  • the number of adults is [tex]x[/tex]
  • the number of students is [tex]y[/tex]

Finally, we can come up with the equation:

It is stated that atleast the $1500 worth of tickets should be sold.

In other words, the tickets sold should be worth greater or equal to $1500.

the tickets sold = [tex]Ax + By[/tex]

this term above should be greater or equal to 1500

hence,

[tex]Ax + By \geq 1500[/tex]

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