A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each

Question

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A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each

necklace is $4.50. The artist is selling the necklaces at $12 each. The inequality LaTeX: 12n > 135 + 4.50n12n>135+4.50n12n>135+4.50n represents the situation in which the artist makes a profit.

Mathematics

1 answer:

lawyer [4K] · Answer 1 · 2026-02-25T17:02:52+03:00

Answer:

The artist begins to profit when n > 8.18

That means the quantity of necklaces must exceed 8.18.

Step-by-step explanation:

Given

let n represent the number of necklaces

booth fee= $135

The expense for materials per necklace = $4.5n

the overall selling price for all necklaces = $12n

total costs= booth fee + material costs = $135 + 4.5n

profit = selling price - total costs

12n > 135 + 4.50n

By solving for n, we find

12n=135 + 4.50n

12n + 4.5n = 135

16.5n = 135

n = 135/16.5

n = 8.18

Hence, the artist achieves profits when n > 8.18.