To solve the equation |x-12|=0.5x Kiana graphed the functions F(x)=|x-12| and G(x)=0.5x on the same set of coordinate axes. She then found that the graphs intersected at the points (8,4) and (24,12) Finally she concluded that the solutions of the equation |x-12|=0.5x are x=8 and x=24 which of the following reasons best justifies Kiana's conclusion?

A) F(4)= G(12) and F(12)= G(4)
B) F(8)= G(24) and F(24)= G(8)
C) F(8)= G(8) and F(24)= G(24)
D) F(4)= G(4) and F(12)= G(12)

Question

To solve the equation |x-12|=0.5x Kiana graphed the functions F(x)=|x-12| and G(x)=0.5x on the same set of coordinate axes. She then found that the graphs intersected at the points (8,4) and (24,12) Finally she concluded that the solutions of the equation |x-12|=0.5x are x=8 and x=24 which of the following reasons best justifies Kiana's conclusion?

A) F(4)= G(12) and F(12)= G(4)
B) F(8)= G(24) and F(24)= G(8)
C) F(8)= G(8) and F(24)= G(24)
D) F(4)= G(4) and F(12)= G(12)

anonymous · Answer

@Hero  or @ganeshie8  can either of you help me please?

anonymous · Answer

@Sadworld  can you help me? :)

anonymous · Answer

Give me a min, to do the math :)

anonymous · Answer

Do you try plugging the points?

anonymous · Answer

I have a hard time with long word problems, i tend to get distracted by all the words lol can you help me out? :)

michele_laino · Answer

Please set x=24 and x=8 into the equation:
|x-12|=0.5 x

anonymous · Answer

I second @Michele_Laino. I did the same thing :)