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Ava is a middle hitter on her club volleyball team. The table displays the number of hitting attempts she had in the last six games compared to the number of kills, which is when a hitting attempt hits the ground and scores a point. If the slope for the line of best fit is 12 , interpret the following representations of the slope and identify which statement is accurate. (1 point) Responses Ava has about 1 kill for every 2 hitting attempts. Ava has about 1 kill for every 2 hitting attempts. Ava has about 2 kills for every game. Ava has about 2 kills for every game. Ava has about 2 kills for every hitting attempt. Ava has about 2 kills for every hitting attempt. Ava’s number of kills increases by 2 for every game.

1 answer

The slope of the line of best fit represents the relationship between the number of hitting attempts and the number of kills Ava has. Given that the slope is 12, it indicates that for every increase of 1 in the number of hitting attempts, the expected increase in the number of kills is 12.

Now, let's analyze the options:

  1. Ava has about 1 kill for every 2 hitting attempts. - This implies a slope of 0.5 (which is not correct since the slope is 12).

  2. Ava has about 2 kills for every game. - This doesn’t relate to the slope directly and is not specifically correct since the slope represents attempts and kills, not per game.

  3. Ava has about 2 kills for every hitting attempt. - This implies a slope of 2 (which is also incorrect as the slope is 12).

  4. Ava’s number of kills increases by 2 for every game. - This does not relate to the slope at all and seems incorrect.

None of the provided statements accurately interpret the slope of 12. The most suitable interpretation based on the slope would be: "Ava gets about 12 kills for every hundred hitting attempts," or alternatively, "For every hitting attempt, her kills increase by 12 on average."

However, based on the options provided, the most relevant interpretation of the slope would not be covered accurately since all interpretations diverge from the actual meaning of a slope of 12.

So, it appears that the correct answer is not listed among the options provided. If forced to pick an option closest to a correct interpretation, one might lean towards statement 3 ("Ava has about 2 kills for every hitting attempt.") purely from a numerical relationship, but still significantly flawed.