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Answer 1 · 2017-06-24T11:50:03

#x=8#

I'm assuming the function #p(x)# represents profit, which equals income minus cost. Therefore,

#p(x) = r(x) - c(x)#

#p(x) = (15x) - (80 + 5x)#

#p(x) = 10x - 80#

Now, we need to find #x# when #p(x) = 0#. To do this, we substitute #0# for #p(x)# and solve:

#0 = 10x - 80#

#80 = 10x#

#8 = x#

So the students will need to sell 8 shirts to break even.

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