document.write( "Question 207372: Create an example of a real-life word problem which can be solved using algebraic inequalities. Write the problem, and then solve the problem. Show the algebraic inequalities that are involved including all necessary steps taken to get the answer. \n" ); document.write( "
Algebra.Com's Answer #157034 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Create an example of a real-life word problem which can be solved using \n" ); document.write( "algebraic inequalities. Write the problem, and then solve the problem. \n" ); document.write( " Show the algebraic inequalities that are involved including all necessary \n" ); document.write( " steps taken to get the answer. \n" ); document.write( "; \n" ); document.write( "How about this? \n" ); document.write( " Car rental agency A will rent a compact car for $40 per day and an additional \n" ); document.write( " charge of $0.20 per mile. Car rental agency B will charge only $0.16 per mile \n" ); document.write( " but charges $51 per day. If Adam wanted to rent a car for four days, how many \n" ); document.write( " miles would Adam have to drive to make car rental agency B a better bargain - \n" ); document.write( ": \n" ); document.write( "Let x = no. of miles driven for Agency B a better deal than A agency \n" ); document.write( ": \n" ); document.write( "Agency A 4-day cost greater than Agency B 4-day cost \n" ); document.write( ".20x + 4(40) > .16x + 4(51) \n" ); document.write( ": \n" ); document.write( ".20x + 160 > .16x + 204 \n" ); document.write( ": \n" ); document.write( ".20x - .16x > 204 - 160 \n" ); document.write( ": \n" ); document.write( ".04x > 44 \n" ); document.write( "x > \n" ); document.write( "x > 1100 mi \n" ); document.write( ": \n" ); document.write( "We can say that when the mileage exceeds 1100, B is cheaper than A \n" ); document.write( ": \n" ); document.write( "Let's say he drives 1101 mi \n" ); document.write( "A: .20(1101) + 160 = 380.20 \n" ); document.write( "B: .16(1101) + 204 = 380.16; 4 cents cheaper \n" ); document.write( ";\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |