x (Hitting Attempts) f(x)= (Kills) 21 11 13 6 18 9 16 9 24 11 22 12 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’s number of kills increases by 2 for every game. Ava’s number of kills increases by 2 for every game. Ava has about 2 kills for every hitting attempt. Ava has about 2 kills for every hitting attempt. Ava has about 2 kills for every game.

Answer 1

To interpret the slope of the line of best fit, we need to look at what the slope represents in the context of the data.

The slope of the line of best fit is 12. In the context of a linear relationship where \( x \) represents hitting attempts and \( f(x) \) represents kills, a slope of 12 means that for every increase of 1 hitting attempt, the number of kills increases by 12.

Now let's evaluate the statements:

1. Ava has about 1 kill for every 2 hitting attempts.

   • This would imply a slope of 0.5 (1 kill for 2 hitting attempts), which is not reflective of the slope 12.

2. Ava’s number of kills increases by 2 for every game.

   • This statement doesn't mention hitting attempts or kills, and it inaccurately describes the behavior of kills related to games, not hitting attempts.

3. Ava has about 2 kills for every hitting attempt.

   • This implies a slope of 2 (which is not correct since the slope is 12).

4. Ava has about 2 kills for every game.

   • This statement doesn't relate to the slope of hitting attempts directly, thus doesn't represent the slope accurately.

None of these statements accurately interpret the slope of 12. The statement most closely aligned with the provided slope (12) — which was not listed among the options — would ideally be something like: "For every hitting attempt, Ava averages 12 kills."

If these are the only provided statements, it can be concluded that none of them accurately interpret the slope of the line of best fit. However, if we had to choose the most related one, the first one ("Ava has about 1 kill for every 2 hitting attempts") initially appears more reasonable in terms of conceptual understanding, even though it's not accurate based on the actual slope of 12.