document.write( "Question 1019924: John and Sarah are each saving money for a car. the total amount of money John will save is given by the function f(x)=60+5x. the total amount of money Sarah will save is given by the function g(x)=x^2+46. after how many weeks,x, will they have the same amount of money saved? explain how you arrived at your money. \n" ); document.write( "

Algebra.Com's Answer #635963 by robertb(5830) $\"\"$ $\"About$

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The amount of John's savings after x weeks is 60 + 5x, while that of Sarah's is $\"x%5E2+%2B+46\"$ .\r
\n" ); document.write( "\n" ); document.write( "To make their savings equal in value, let $\"x%5E2+%2B46+=+60+%2B+5x\"$
\n" ); document.write( "==> $\"x%5E2+-+5x+-14+=+0\"$
\n" ); document.write( "==> (x-7)(x+2) = 0
\n" ); document.write( "==> x = 7 or x = -2.
\n" ); document.write( "x = -2 is unacceptable as a solution.
\n" ); document.write( "Therefore it will take 7 weeks for John's and Sarah's savings to become equal. \n" ); document.write( "

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