document.write( "Question 1025947: Jason is shopping at a store for a shirt. He has a coupon that will reduce the original price of the shirt by $2. A 4% sales tax will be added to the reduced price. Which inequality represents all of the possible original prices, p, of shirts that will cost less than $20 after the coupon and tax are applied?
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document.write( "A. 0.83
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document.write( "B. O.83 with 3 repeating
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document.write( "C. 1.2
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document.write( "D. 1.2 with 2 repeating
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document.write( "I'm a 7th grade math tutor & I've tried drawing a tape diagram, solving this with a negative coefficient due to the fact that the originAl price of the shirt doesn't make sense to be less than any of the above values. \r
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document.write( "Thanks in advance \n" );
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Algebra.Com's Answer #641252 by Theo(13342)![]() ![]() You can put this solution on YOUR website! i solved this as follows.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let p = the original price of the shirt.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "then p-2 = the sale price.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the tax would therefore be .04 * (p-2).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the total cost is therefore (p-2) + .04 * (p-2).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if this has to be less than 20, then you get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(p-2) + .04 * (p-2) < 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify this to get p - 2 + .04 * p - .04 * 2 < 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify further to get p - 2 + .04 * p - .08 < 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get 1.04 * p - 2.08 < 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for p to get p < (20 + 2.08) / 1.04\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this results in p < 21.23076923.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i tested this out and it makes sense.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "looking at the selections, however, i can't make heads or tails out of any of them.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "any value of p less than 21.23076923 will satisfy the inequality.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "p, however, would have to be greater than or equal to 2, otherwise the sale price would be negative.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i did a search on the internet for the question and this is what i came up with.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this came from the following link.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.louisianabelieves.com/docs/default-source/assessment/leap-2015-2016-grade-7-math-paper-practice-test.pdf?sfvrsn=2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i calculated the solution to be selection b in this test.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |