Use the table to answer the question.

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

Ava has about 2 kills for every game.
Ava has about 2 kills for every game.

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.
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1 answer

To interpret the slope of 12 in the context of the data provided, we need to consider what the slope represents in a linear relationship. The slope indicates the change in the number of kills (y-axis) for each unit change in the number of hitting attempts (x-axis).

If the slope is 12, it means that for each additional hitting attempt, the number of kills increases by 12. However, let's analyze the response options to determine which one accurately reflects the relationship represented by a slope of 12:

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

    • This statement implies a ratio, which isn't correct based on the slope of 12.
  2. Ava has about 2 kills for every game.

    • This statement does not directly relate to the slope and is likely inaccurate.
  3. Ava has about 1 kill for every 2 hitting attempts.

    • Given a slope of 12, this implies a different ratio and is not correct.
  4. Ava’s number of kills increases by 2 for every game.

    • This statement misrepresents the relationship as well; the slope of 12 does not apply to games directly unless further defined.

Based on the choices, none of the statements accurately interpret the meaning of a slope of 12 in context. However, the most relevant detail in regard to changes based on attempts is:

  • Since the slope indicates that kills increase by 12 for each hitting attempt, none of the statements fully convey this information accurately.

If we must choose one of the provided options regardless of accuracy, we should consider that the statement "Ava has about 1 kill for every 2 hitting attempts" hints at a proportional relationship but misrepresents the exact meaning of the slope.

Thus, if you need to select a response, you might lean towards that last option stating a relation to hitting attempts, keeping in mind that it still doesn't accurately capture the slope of 12!