SOLUTION: Maria paints portraits that she sells for $30 each. Her cost, C, is C= 160+16n, where n = number of portraits sold. Write an inequality to represent the number of portraits she nee

Question 501784: Maria paints portraits that she sells for $30 each. Her cost, C, is C= 160+16n, where n = number of portraits sold. Write an inequality to represent the number of portraits she needs to sell to earn a profit of at least $300
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Maria paints portraits that she sells for $30 each.
Her cost, C, is C= 160+16n, where n = number of portraits sold.
Write an inequality to represent the number of portraits she needs to sell to earn a profit of at least $300
:
Revenue; r = 30n
cost; c = 160 + 16n
r - c = profit; therefore
:
30n - (160+16n) => 300
30n - 160 - 16n => 300
30n - 16n = 300 + 160
14n => 460
n =>
n => 33 portraits to make at least $300
:
:
:
Check this
30(33) = $990 revenue
160 + 16(33) = $688 cost
-----------------------
profit: $302
:
You can check this with 32 portraits and see it will be less than $300 profit
RELATED QUESTIONS
Caitlyn sells her drawings at the county fair. She wants to sell at least 70 drawings and (answered by ikleyn)

Caresia is an artist who works at a her shop drawing �watercolor portraits.� She charges... (answered by josmiceli)

Paula makes her living by painting. She paints small portraits for 200, large landscapes... (answered by ikleyn)

Cesar sells his drawings at the county fair. He wants to sell at least 6 drawings and has (answered by Theo)

Caryssa makes bracelets to sell at craft fairs. The supplies she needed to start her... (answered by solver91311)

Carissa makes bracelets to sell at craft fairs. The supplies she needed to start her... (answered by solver91311)

Olivia designs and sells necklaces. The materials for each necklace cost $4. She sells an (answered by stanbon)

Maria owns a cheese factory. The amount of cheese, in kilograms, that she sells in one... (answered by solver91311)