document.write( "Question 121964This question is from textbook Fundamental of Algebraic Modeling
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document.write( ": A car that sold for $15,200 had a sales tax of $912. At the same rate, how much is the tax on a car that sells for $12,000? \n" );
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Algebra.Com's Answer #89551 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! The price of a purchase (call it P) times the sales tax rate (call it R) tells you the amount of \n" ); document.write( "the tax that is paid (call it T). In equation form this is: \n" ); document.write( ". \n" ); document.write( "P*R = T \n" ); document.write( ". \n" ); document.write( "To find the rate R, let's look at the first sale. For a price (P) of $15200 the amount of the \n" ); document.write( "tax (T) was $912. Substitute these values into the equation to get: \n" ); document.write( ". \n" ); document.write( "15200*R = 912 \n" ); document.write( ". \n" ); document.write( "Solve for R by dividing both sides of the equation by 15200 to get: \n" ); document.write( ". \n" ); document.write( "R = 912/15200 = 0.06 \n" ); document.write( ". \n" ); document.write( "This tells you that 0.06 is the rate of the sales tax on a purchase. \n" ); document.write( ". \n" ); document.write( "Next you are told to find the sales tax on a car that is purchased for $12000. So substituting \n" ); document.write( "into the equation for P and R you get: \n" ); document.write( ". \n" ); document.write( "12000 * 0.06 = T \n" ); document.write( ". \n" ); document.write( "Multiply out the left side and you get that the sales tax on this purchase is: \n" ); document.write( ". \n" ); document.write( "720 = T \n" ); document.write( ". \n" ); document.write( "So for the purchase of a car costing $12,000 you should expect to pay $720 in sales tax. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem. \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |