Zorah, a musician, pays 120 dollars to have her instrument tuned and 10 dollars per hour for a booth at a fair. She estimates that she earns 25 dollars per hour in tips. The equation can be used to represent the break-even point. 120 plus 10 x is equal to 25 x How many hours, x , will Zorah have to play in order to break even?
Break-even means Zorah’s total costs equal her tip earnings, so solve 120 + 10x = 25x. Subtract 10x from both sides to get 120 = 15x, then divide by 15: x = 8. Zorah must play for 8 hours, which is choice C.
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