Ateacher has decided to take her fifth grade class to a play. the manager of the theater agreed to discount the regular $35 price of the ticket by $0.30 for each ticket sold. the cost of the bus, $480, will be split equally among each of the students. how many students must attend to keep the cost per student at or below $35?

40 students

Explanation:

The cost of the bus is $480

For x students, the cost of each ticket will be 35 - 0.30x

The total cost of the tickets for x students will be x(35 - 0.30x)

To find the number of students that will make the cost per student equal to $33, we solve for x:

480+ x(35 - 0.30x)  =35

                x

480+ x(35 - 0.30x)   = 35x

480 + 35x - 0.30x²   = 35x

480                            = 0.30x²

1,600                          = x²

40                               = x

The cost per student will be $35 if the number of students is 40; it will be less than $35 if the number of students is greater than 40.

b, fewer problems later! good luck

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