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 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 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.

Answer 1

To interpret the slope of the line of best fit, which is given as \( \frac{12}{1} = 12 \), you should understand that the slope represents the ratio of the change in \( y \) (number of kills, \( f(x) \)) to the change in \( x \) (hitting attempts).

1. The slope being 12 means that for every increase of 1 in hitting attempts, Ava gets approximately 12 kills.
2. This does not directly translate to "kills for every game" or “kills for every hitting attempt” in a straightforward way.

Now, let's examine the provided statements:

1. "Ava has about 2 kills for every game." - This does not relate to the slope.
2. "Ava has about 2 kills for every hitting attempt." - This is not a correct interpretation of a slope of 12.
3. "Ava has about 1 kill for every 2 hitting attempts." - This statement suggests a ratio of kills to hitting attempts that could imply a slope of 0.5 instead, which is incorrect.
4. "Ava’s number of kills increases by 2 for every game." - This statement does not reflect the slope.

Therefore, none of the responses perfectly matches the interpretation of a slope of 12. However, the slope indicates that for every increase of about 1 hitting attempt, we would expect around 12 more kills over the data range considered in the slope.

If the question requests the best interpretation given provided options, none stands out as accurate according to the slope's mathematical meaning. The correct interpretation should be along the lines of "Ava's kills increase by 12 for every 1 hitting attempt."

Assuming a slight misunderstanding in the options, none are directly correct without an option to interpret "12" correctly. Would you like further assistance or clarifications?