Question
Question
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’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.
Ava has about 1 kill for every 2 hitting attempts.
Answers
GPT-4o mini
To interpret the slope of the line of best fit, which is given as 12 in this context, we need to understand how this value relates to the data presented in the table.
The slope of 12 indicates that for every additional hitting attempt, Ava averages an increase of about 12 kills.
Let's break down the provided response options:
1. **Ava has about 2 kills for every hitting attempt.**
- This statement could imply a ratio but does not relate accurately to the slope provided.
2. **Ava has about 2 kills for every game.**
- This is not accurate as the slope relates to hitting attempts, not games directly.
3. **Ava’s number of kills increases by 2 for every game.**
- This statement does not represent the slope correctly, as the slope refers to hitting attempts.
4. **Ava has about 1 kill for every 2 hitting attempts.**
- This statement suggests a ratio or relationship, but does not accurately reflect the slope of 12 either.
Given the context of the slope (which represents the average number of kills per additional hitting attempts), the most accurate interpretation is not directly represented among these specific response options.
Since none of the statements directly and accurately reflect a slope of 12, it's clear that they do not represent the relationship described by the slope correctly.
If we need to identify the best among the inaccurate choices, the concept of how hitting attempts and kills are related would suggest looking at the overall tendencies - but the most correct understanding is that the slope implies more kills for more attempts, rather than fixed ratios or specifics tied to games.
This means a correct interpretation based on the slope of 12 is missing among the options provided, and none of these statements accurately capture the relationship implied by the slope.
If you have further context or need modifications for selecting among these options, please advise.
The slope of 12 indicates that for every additional hitting attempt, Ava averages an increase of about 12 kills.
Let's break down the provided response options:
1. **Ava has about 2 kills for every hitting attempt.**
- This statement could imply a ratio but does not relate accurately to the slope provided.
2. **Ava has about 2 kills for every game.**
- This is not accurate as the slope relates to hitting attempts, not games directly.
3. **Ava’s number of kills increases by 2 for every game.**
- This statement does not represent the slope correctly, as the slope refers to hitting attempts.
4. **Ava has about 1 kill for every 2 hitting attempts.**
- This statement suggests a ratio or relationship, but does not accurately reflect the slope of 12 either.
Given the context of the slope (which represents the average number of kills per additional hitting attempts), the most accurate interpretation is not directly represented among these specific response options.
Since none of the statements directly and accurately reflect a slope of 12, it's clear that they do not represent the relationship described by the slope correctly.
If we need to identify the best among the inaccurate choices, the concept of how hitting attempts and kills are related would suggest looking at the overall tendencies - but the most correct understanding is that the slope implies more kills for more attempts, rather than fixed ratios or specifics tied to games.
This means a correct interpretation based on the slope of 12 is missing among the options provided, and none of these statements accurately capture the relationship implied by the slope.
If you have further context or need modifications for selecting among these options, please advise.