SOLUTION: 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

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.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The amount of John's savings after x weeks is 60 + 5x, while that of Sarah's is .
To make their savings equal in value, let
==>
==> (x-7)(x+2) = 0
==> x = 7 or x = -2.
x = -2 is unacceptable as a solution.
Therefore it will take 7 weeks for John's and Sarah's savings to become equal.
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