Elena B. answered • 12/05/14

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GMAT/GRE, SAT/ACT, Advanced Math - College Counseling

Profit after selling 9 costumes is $62.50 so we can get the price at which each costume is sold.

if Price/costume= p then 9p-50 = 62.50, then p=$12.50

Now the function P(c) represents profits as a function of c, # of costumes sold so :

P(c) = 12.5c - 50

This is a line with positive slope = 12.50 and y-intercept = -50 (initial cost of the booth)

c-intercepts = 4 (solving this equation for P(c) = 0)

Therefore, c-intercepts represents the break even point meaning that the Drama Club will start making a profit with the fifth costume sold.