Question

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 12n>135+4.50n
represents the situation in which the artist makes a profit. Write an inequality to show the number of necklaces, n
, the artist must sell to make a profit.

Answer 1

The artist must sell more than 18 necklaces to make a profit.

Step-by-step explanation:

To find the number of necklaces the artist must sell to make a profit, we need to solve the inequality 12n > 135 + 4.50n, where n represents the number of necklaces sold.

First, we can simplify the inequality by subtracting 4.50n from both sides: 12n - 4.50n > 135.

This simplifies to 7.50n > 135.

Finally, we divide both sides of the inequality by 7.50 to solve for n: n > 18.

Therefore, the artist must sell more than 18 necklaces to make a profit.