Answer:the break even point is when 10 bracelets are made and sold.
Explanation:
Let x represent the number of bracelets that the student makes and sells.
The material to make each bracelets cost is 7.50. This means that the cost of making x bracelets would be
x × 7.5 = 7.5x
The the booth at the craft show costs 255. This means that the total cost incurred would be
7x + 255
The cost of selling each bracelet is 32.50. It means that the total cost of selling x bracelets would be
32.5 × x = 32.5x
At the point of break even, profit is zero. Therefore
Revenue - cost = 0
Revenue = cost
So
32.5x = 7x + 255
32.5x - 7x = 255
25.5x = 255
x = 255/25.5
x = 10