Answer:
The artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).
Explanation:
Note: The question contains some error. The question is therefore rewritten before is answered as follows:
A jewelry artist is selling necklace at an art fair. It costs $135 to rent a booth at the fair. The cost of material for each necklace is $4.50. The artist is selling the necklace at $12 each. The inequality 12n>135+4.50 represents the situation in which the art is making the profit. Will the artist make a profit if she sells 15 necklaces? Show how you know. Be sure to indicate what the variable n represents.
The explanation of the answer is therefore given as follows:
Given;
12n > 135 + 4.50 .................... (1)
Where n represents the number of necklace that must be sold by the artist to make a profit.
Solving for n from equation, we have:
12n > 139.50
n > 139.50 / 12
n > 11.625 ..................... (2)
Equation (2) implies that more than 11.625 necklaces must be sold by the artist to make a profit.
When the artist sells 15 necklaces, it implies that n = 15.
Since more than 11.625 necklaces must be sold by the artist to make a profit, it therefore implies that the artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).