document.write( "Question 1195980: Hey community pool is open for 15 weeks each year. There are two payment options: you can pay three dollars per visit or you can buy a season pass for $84 for unlimited access. On what day will both options equal each other in value. Create a system of equations and use the equal value theorem to solve \n" ); document.write( "
Algebra.Com's Answer #828627 by math_tutor2020(3817) ![]() You can put this solution on YOUR website! \n" ); document.write( "x = number of days \n" ); document.write( "y = total cost\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Option 1: Paying $3 per day \n" ); document.write( "y = 3x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Option 2: Buy a season pass \n" ); document.write( "y = 84 \n" ); document.write( "The variable x plays no role here since the cost is fixed or flat.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Equate the right hand sides and solve. \n" ); document.write( "3x = 84 \n" ); document.write( "x = 84/3 \n" ); document.write( "x = 28\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: On day 28 is when the two payment options cost the same ($84) \n" ); document.write( " \n" ); document.write( " |