document.write( "Question 215957: Your gym membership costs $33 per month after an initial membership fee. You paid a total of $225 after 5 months. Write an equation that gives the total cost as a function of the length of your gym membership (in months). Find the total cost after 10 months.\r
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Algebra.Com's Answer #163135 by drj(1380)![]() ![]() You can put this solution on YOUR website! Your gym membership costs $33 per month after an initial membership fee. You paid a total of $225 after 5 months. Write an equation that gives the total cost as a function of the length of your gym membership (in months). Find the total cost after 10 months.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. Let x be the number of months paid.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. Let 33x be the dollar value of the cost paid after x months (no initial fee yet)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3. Let 33*5=165 be the cost paid on a monthly basis for 5 months. But the total cost is 225 dollars after 5 months. This implies that the membership fee is 225-165=60 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4. Let TC be the total cost.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 5. ANSWER: Then the equation of the total cost \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 6. ANSWER: After 10 months, total cost \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Respectfully, \n" ); document.write( "Dr J\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |