Use the table to answer the question.

Question

x (Hitting Attempts) f(x)=
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
1
2
, 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’s number of kills increases by 2 for every game.
Ava’s number of kills increases by 2 for every game.

Ava has about 1 kill for every 2 hitting attempts.

Answer 1

To interpret the slope given as \( \frac{12}{1} \), which simplifies to 12, it represents the relationship between hitting attempts (x) and kills (f(x)).

In this context, the slope tells us that for every additional hitting attempt, Ava is expected to get approximately 12 extra kills.

Given the options:

1. Ava has about 2 kills for every hitting attempt.
2. Ava has about 2 kills for every game.
3. Ava’s number of kills increases by 2 for every game.
4. Ava has about 1 kill for every 2 hitting attempts.

None of these options correctly reflect the slope of 12. However, if we want to correct the slope conceptually:

• The correct interpretation of the slope of 12 is that as the number of hitting attempts increases, you can expect 12 kills. This means Ava has about 12 kills for every hitting attempt, but this option is not present in the choices provided.

Thus, none of the statements is accurate in relation to the given slope of 12. However, if we were to consider a different scenario where Ava’s performance reflects a slope representing kills per hitting attempt, the closest contextual meaning would usually be "Ava has about 1 kill for every x hitting attempts," but none of these options fit correctly.

Please clarify if the slope needs further context to align, or if more information is available for the question.