Use the table to answer the question .

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

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

Answer 1

To interpret the slope of the line of best fit, which is given as 12, we need to understand what this value represents in the context of the data.

In the context of this situation:

• The slope (12) tells us how many kills (f(x)) Ava averages for each hitting attempt (x).

Given that the slope is 12, we can interpret this as follows:

• For each additional hitting attempt (each additional unit of x), Ava averages an increase of approximately 12 kills.

However, this requires a reevaluation since it seems mathematics indicates a need to analyze the ratio based on attempts and kills.

Since the slope indicates the number of kills related to hitting attempts, the best interpretation among the options presented would relate to the number of kills compared to the number of attempts.

But looking at the statements presented:

1. "Ava has about 1 kill for every 2 hitting attempts." - This is incorrect; the slope suggests a higher ratio.
2. "Ava has about 2 kills for every hitting attempt." - This appears exaggerated given '12' does not directly suggest that ratio.
3. "Ava has about 2 kills for every game." - This does not directly follow from the slope either since '12' relates to attempts rather than games.
4. "Ava’s number of kills increases by 2 for every game." - Again, this does not represent information about hitting attempts.

Based on the notion that each attempt leads to margin increases by the values, the correct interpretation based on typical mathematical slope understanding would gravitate toward the first statement (though needs clarification).

Ava has about 1 kill for every 2 hitting attempts can be interpreted if we consider that there's a sliding value of connection where additional attempts amplify success over ratios stated by the game recorded attempts versus kills.

Thus, based on numerical context, if truly adhering strictly to presented options:

• First response fits close to behavioral expectations given the average summated understanding.

However, please clarify if the mention of "slope" strictly ought to translate numerically (like: "kills related more tentatively to hitting attempts").

In summary, the accurate statement based on exponential ratio theories (checking kills against attempts) aligns as:

• Ava has about 1 kill for every 2 hitting attempts (subject to numerical verification).