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’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.
Ava has about 2 kills for every game.

Ava has about 1 kill for every 2 hitting attempts.

Answer 1

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

• The slope (12) represents the change in the number of kills (y-axis) for each additional hitting attempt (x-axis).

If we assume the slope is understood as "number of kills per number of hitting attempts," then:

1. A slope of 12 implies that for every 1 additional hitting attempt, Ava's number of kills increases by about 1/12 of a kill.

2. A different interpretation is that it means for every increase of 1 in hitting attempts, the kills increase by some average amount. If interpreting directly, this means the kills do not scale linearly like '2 for every game.'

Now, let’s evaluate the choices based on the slope of 12:

• Ava’s number of kills increases by 2 for every game. (This is incorrect since the slope indicates change based on hitting attempts, not games.)

• Ava has about 2 kills for every hitting attempt. (This is incorrect because a slope of 12 does not imply this ratio.)

• Ava has about 2 kills for every game. (This is not correct in the context provided. The slope tells us about attempts, not games directly.)

• Ava has about 1 kill for every 2 hitting attempts. (This statement is the most reasonable considering the slope and can imply a ratio. Since 12 as a slope may suggest a scaling.)

After analyzing the options, the statement that is accurate in context is:

Ava has about 1 kill for every 2 hitting attempts.

This aligns better with the interpretation of the slope being indicative of performance across attempts.