document.write( "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 \n" ); document.write( "
Algebra.Com's Answer #338696 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Maria paints portraits that she sells for $30 each. \n" ); document.write( "Her cost, C, is C= 160+16n, where n = number of portraits sold. \n" ); document.write( " Write an inequality to represent the number of portraits she needs to sell to earn a profit of at least $300 \n" ); document.write( ": \n" ); document.write( "Revenue; r = 30n \n" ); document.write( "cost; c = 160 + 16n \n" ); document.write( "r - c = profit; therefore \n" ); document.write( ": \n" ); document.write( "30n - (160+16n) => 300 \n" ); document.write( "30n - 160 - 16n => 300 \n" ); document.write( "30n - 16n = 300 + 160 \n" ); document.write( "14n => 460 \n" ); document.write( "n => \n" ); document.write( "n => 33 portraits to make at least $300 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this \n" ); document.write( "30(33) = $990 revenue \n" ); document.write( "160 + 16(33) = $688 cost \n" ); document.write( "----------------------- \n" ); document.write( "profit: $302 \n" ); document.write( ": \n" ); document.write( "You can check this with 32 portraits and see it will be less than $300 profit \n" ); document.write( " |