A high school play cost an up front $30,000 to produce, plus an additional cost as of $1000 for each perfromance. Every sold out performance of the of thr play brings in $2500 of revenue to the school. How many sold out performance are needed so that the school breaks even OP n the production of the play?

Question

Mathematics

Tommy Ray

8 December, 16:03

A high school play cost an up front $30,000 to produce, plus an additional cost as of $1000 for each perfromance. Every sold out performance of the of thr play brings in $2500 of revenue to the school. How many sold out performance are needed so that the school breaks even OP n the production of the play?

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Answers (1)

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Nolan Brewer · Answer 1

Interpreted by text, we have got 2 function; 1 that describes the costs for ther performance and the other demonstrates the revenue.

f (x) = 1000x + 30 000

g (x) = 2500x

Two ways to work out when the school breaks on the

production of the play.

1 - set these functions in geogebra and observe where cross each other. This value will be the answer as g goes higher than f

2 - solve as an equation=> set f (x) = g (x) and work out the and afterward set the x value in f or g to find out the y coordinate