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Write and solve an inequality that can be used to find x, the distance Konrad needs to have on his sixth jump so that his average distanceFor the first 6 jumps is more than 5 meters.

User Alecmce
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1 Answer

5 votes

Create an inequality that satisfies the first given. Thus, we add the distances and x and then divide it by 6. Use the greater than symbol.


\begin{gathered} (4.5+5.7+5.2+4.2+4.4+x)/(6)>5 \\ (24+x)/(6)>5 \\ 24+x>5(6) \\ 24+x>30 \\ x>30-24 \\ x>6 \end{gathered}

Therefore, the graph of the inequality must be an open circle on 6 and the shaded part is at the right of 6. Therefore, it must be option C.

User Nichols
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