Chayil H.

asked • 06/01/16

i need help with this question

John and Sarah are both 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 answer.

1 Expert Answer

By:

Elwyn D. answered • 06/01/16

Private School Math Instructor

Chayil H.

why do you need to factor?
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06/01/16

Elwyn D.

tutor
Before you factor you can only guess at various values for x until one works.  When you factor the equation you have two binomials that reveal the two roots.  Those two roots are the only two numbers anywhere in the real numbers which will satisfy the equation.  It just happens in this case that one of the solutions is meaningless because the concept of -2 weeks is obviously a non-sense cal answer.
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06/01/16

Elwyn D.

tutor
Nonsensical 
 
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06/01/16

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