Every jump a game piece makes measures 8/9 . The piece starts at point A = 7 and jumps to the right. As soon as the piece jumps over B = 24, it switches direction and jumps to the left. The piece then stops at point A. How many jumps did the game piece take?

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Answer:

There will be a total 40 jumps.

Step-by-step explanation:

Every jump a game piece makes measures [tex]\frac{8}{9} = 0.889[/tex].

Now, the piece starts at point A = 7 and jumps to the right.

So, the piece will jump over B = 24  after [tex]\frac{24 - 7}{0.889} = 19.122[/tex] ≈ 20 complete jumps.

Then it switches direction to the left and the piece then stops at point A.

So, there will be a total (20 + 20) = 40 jumps. (Answer)

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