Question
× (Hitting Attempts)
f(x) =(Kills)
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DA
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 1, interpret the following representations of the slope and identify which statement is accurate.
(1 point)
• Ava's number of kills increases by 2 for every game.
• Ava has about 2 kills for every game.
• Ava has about 2 kills for every hitting attempt.
• Ava has about 1 kill for every 2 hitting attempts.
f(x) =(Kills)
21
11
13
18
16
9
24
11
22
12
DA
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 1, interpret the following representations of the slope and identify which statement is accurate.
(1 point)
• Ava's number of kills increases by 2 for every game.
• Ava has about 2 kills for every game.
• Ava has about 2 kills for every hitting attempt.
• Ava has about 1 kill for every 2 hitting attempts.
Answers
GPT-4o mini
The slope of a line represents the rate of change between the two variables being analyzed. In this scenario, the slope of 1 indicates that for every unit increase in hitting attempts (x), there is an equivalent increase of 1 unit in kills (y).
To interpret the options provided in light of the slope being 1:
1. **Ava's number of kills increases by 2 for every game**: This statement inaccurately describes the relationship because it suggests an increase of 2 kills, where the slope indicates an increase of 1 kill.
2. **Ava has about 2 kills for every game**: This statement is not accurate as it does not reflect the relationship shown by the slope.
3. **Ava has about 2 kills for every hitting attempt**: This statement is also incorrect because the slope of 1 indicates an equal relationship, not a ratio of 2 kills for each attempt.
4. **Ava has about 1 kill for every 2 hitting attempts**: This statement is not accurate as the slope being 1 indicates an equal relationship, suggesting that she has 1 kill for every 1 hitting attempt, not 1 kill for every 2 attempts.
Given the above analyses, none of the statements accurately represent the information provided by the slope of 1. If the slope were 1, it would mean there's approximately 1 kill for each hitting attempt. However, since the option reflecting this is not listed, it seems like a better option would be "Ava has about 1 kill for every hitting attempt." Please review or select the closest correct interpretation based on available options.
To interpret the options provided in light of the slope being 1:
1. **Ava's number of kills increases by 2 for every game**: This statement inaccurately describes the relationship because it suggests an increase of 2 kills, where the slope indicates an increase of 1 kill.
2. **Ava has about 2 kills for every game**: This statement is not accurate as it does not reflect the relationship shown by the slope.
3. **Ava has about 2 kills for every hitting attempt**: This statement is also incorrect because the slope of 1 indicates an equal relationship, not a ratio of 2 kills for each attempt.
4. **Ava has about 1 kill for every 2 hitting attempts**: This statement is not accurate as the slope being 1 indicates an equal relationship, suggesting that she has 1 kill for every 1 hitting attempt, not 1 kill for every 2 attempts.
Given the above analyses, none of the statements accurately represent the information provided by the slope of 1. If the slope were 1, it would mean there's approximately 1 kill for each hitting attempt. However, since the option reflecting this is not listed, it seems like a better option would be "Ava has about 1 kill for every hitting attempt." Please review or select the closest correct interpretation based on available options.