Select the correct answer. It would take Charlene and Gina 18 minutes to organize Charlene's comic book collection if they work together. If Gina works 15 minutes longer than it would take Charlene working alone. When x represents the number of minutes it takes Charlene to organize the comic book collection working alone, the situation equation: (1)/(x)+(1)/(x+15)=(1)/(18) Which value is a solution of the rational equation that must be discarded because of the context? A. x=0 B. x=-9 C. x=-15 D. x=-30

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Select the correct answer. It would take Charlene and Gina 18 minutes to organize Charlene's comic book collection if they work together. If Gina works 15 minutes longer than it would take Charlene working alone. When x represents the number of minutes it takes Charlene to organize the comic book collection working alone, the situation equation: (1)/(x)+(1)/(x+15)=(1)/(18) Which value is a solution of the rational equation that must be discarded because of the context? A. x=0 B. x=-9 C. x=-15 D. x=-30

Answer 1

The correct answer is C. $x=-15$.<br /><br />In the given rational equation, the variable $x$ represents the number of minutes it takes Charlene to organize the comic book collection working alone. Since time cannot be negative, the value $x=-15$ must be discarded because it does not make sense in the context of the problem.

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