document.write( "Question 1207185: Mrs. Robinson made the table below showing the yearly balance of her savings
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document.write( "account. Interest on the account compounds annually. Which of the following
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document.write( "describes the best model to be used for Mrs. Robinson’s data?
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document.write( "Year Balance in Dollars
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document.write( "0 $400
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document.write( "5 $463.71
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document.write( "10 $537.57
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document.write( "15 $623.19
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document.write( "20 $722.44
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document.write( "25 $837.51\r
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document.write( "A) a positive linear function
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document.write( "B) a positive quadratic function
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document.write( "C) an exponential growth function
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document.write( "D) a positive absolute value function \n" );
document.write( "
Algebra.Com's Answer #844919 by ikleyn(52777)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Notice that the years in the table are given with the constant step of 5 years.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From your table, calculate the ratio of the next term balance to the previous term balance.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "I did it and obtained a constant value of 1.1592 (rounded) for all adjacent terms.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The fact that the consecutive fractions have constant values tells that the function is exponential.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "That's all.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "As an additional clue, you may use the fact that banks use \n" ); document.write( "either linear function (simple percent account) or exponential functions (compounded accounts). \n" ); document.write( "They never use quadratic functions or absolute value functions as growth functions, \n" ); document.write( "so for you in this problem the choice is, actually, between linear and exponential, only.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There is no any need to inflate this bubble to incredible proportions.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |