WILL GIVE BRAINLIEST A Jewelry artist is selling at an fair. It costs $135 to rent a booth at the fair. The cost of materials for each necklace is $4.00. The artist is selling the necklaces at $12 each.
The inequality 12n>145+4n represents the situation in which the artist a profit.

a) Since the income is more than the cost, she makes a profit.

b) To make profits, she must sell at least 17 necklaces

Step-by-step explanation:

Inequalities

The costs of selling jewelry at a fair are $135 to rent a booth and $4 for each necklace. The cost function is:

C(n) = 135 + 4n

Where n is the number of necklaces she sells at the fair. She sells each necklace at $12 each, thus the income function is:

R(n) = 12n

a) If she sells n=17 necklaces, it will cost:

C(17) = 135 + 4*17 = 203

And the income is:

R(17) = 12*17= 204

Since the income is more than the cost, she makes a profit.

b) To make a profit R(n) > C(n), thus:

12n > 135 + 4n

Subtracting 4n:

8n > 135

n > 135/8

n > 16.875

Thus, to make profits, she must sell at least 17 necklaces