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Aleks [24]
3 years ago
9

A bookstore costs $96 a day to keep open, and it spends $12 for each book that it sells. If each book sells for $18, what is the

break-even point
for this bookstore?
Mathematics
1 answer:
asambeis [7]3 years ago
7 0

Answer: The break even point is when they have sold 16 books and have made $288

Step-by-step explanation:  The costs are modeled in the equation y = 12x + 96.  x is the number of books sold.

The earnings are modeled by he equation y = 18x.

Substitute 18x for y and solve for x.

18x = 12x + 96  Subtract 12x from both sides.

6x = 96 Divide both sides by 6

x = 16

Substitute into the original equations to solve  for y

y = 12(16) + 96

y = 192 + 96

Y = 288

y = 18(16)

y = 288

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