document.write( "Question 1160568: a) Write an inequality that represents the story problem below.
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document.write( "b) Solve the inequality to find the amount of time you can rent the bicycle. c) Graph your solution on a numberline.\r
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document.write( "You want to rent a bicycle to use on the Falling Waters Trail. There is an initial $6.00 fee that allows you to use the bike for 3 hours. There is an additional fee of $2.00/hour for every hour after that. You have $15.00 that you can spend on renting the bicycle.
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Algebra.Com's Answer #783889 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the formula will be: \n" ); document.write( "6 + 2 * (x - 3) <= 15 \n" ); document.write( "x represents the number of hours you can rent the bike. \n" ); document.write( "15 represents the amount of money you have available for renting the bike for x hours. \n" ); document.write( "subtract 6 from both sides of this equation to get: \n" ); document.write( "2 * (x - 3) <= 9 \n" ); document.write( "simplify to get: \n" ); document.write( "2 * x - 6 <= 9 \n" ); document.write( "add 6 to both sides of this equation to get: \n" ); document.write( "2 * x <= 15 \n" ); document.write( "divide both sides by 2 to get: \n" ); document.write( "x <= 15/2 \n" ); document.write( "simplify to get: \n" ); document.write( "x <= 7.5 \n" ); document.write( "the maximum number of hours you can ren the bike is 7.5. \n" ); document.write( "you pay 6 dollars up front. \n" ); document.write( "this gets you the first 3 hours. \n" ); document.write( "you have 9 dollars left. \n" ); document.write( "at 2 dollars an hour, you can get an additional 4.5 hours,. \n" ); document.write( "3 hours plus 4.5 hours = 7.5 hours total for your 15 dollars. \n" ); document.write( "your solution on the number line will start at 0 and end at 7.5, inclusive of both end points.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |