Question

Please help and hurry!!! I really need an answer quick!
Natalie cuts vinyl. She charges $20 for a vinyl design. She paid $200 for a vinyl cutting machine and supplies and uses $5 worth of vinyl products for each design. When will Natalie begin to make a profit?
-Write an inequality to model the problem.
-Solve the inequality. Show your work.

Answer 1

Equation: 200+5x<20x

200+5x<20x
200<15x
13.3<x

She will have made $195 by her 13th product, once she sells her 14th she will have $10 in profit

Answer: Natalie will begin to make profit on her 14th product