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.
Answers
GPT-4o mini
To interpret a slope in the context of a linear relationship between hitting attempts (x) and kills (f(x)), the slope indicates how much the number of kills increases for each additional hitting attempt.
Given that the slope is 12, this means that for each additional hitting attempt, the number of kills increases by 12.
Now let's analyze the provided statements:
1. **Ava has about 2 kills for every hitting attempt.** - Incorrect; this doesn't match the slope.
2. **Ava has about 2 kills for every game.** - Incorrect; this also doesn't reflect the slope.
3. **Ava’s number of kills increases by 2 for every game.** - Incorrect; the slope suggests an increase in kills per hitting attempt, not per game.
4. **Ava has about 1 kill for every 2 hitting attempts.** - This statement is also incorrect when interpreting the slope of 12.
None of the provided options accurately reflect the meaning of the slope of 12. If "12" were to be converted into a more relatable form, it could suggest that for every hitting attempt, Ava makes approximately 12 kills, but this seems unlikely as it is a very high number.
Based on the standard interpretation of slopes with the value provided:
The correct interpretation is that for every hitting attempt added, the kills increases by 12, which isn't directly represented in any statement. So, technically, none of the statements are accurate based on the slope value provided. You may need to clarify the options given or provide more context for an accurate assessment.
Given that the slope is 12, this means that for each additional hitting attempt, the number of kills increases by 12.
Now let's analyze the provided statements:
1. **Ava has about 2 kills for every hitting attempt.** - Incorrect; this doesn't match the slope.
2. **Ava has about 2 kills for every game.** - Incorrect; this also doesn't reflect the slope.
3. **Ava’s number of kills increases by 2 for every game.** - Incorrect; the slope suggests an increase in kills per hitting attempt, not per game.
4. **Ava has about 1 kill for every 2 hitting attempts.** - This statement is also incorrect when interpreting the slope of 12.
None of the provided options accurately reflect the meaning of the slope of 12. If "12" were to be converted into a more relatable form, it could suggest that for every hitting attempt, Ava makes approximately 12 kills, but this seems unlikely as it is a very high number.
Based on the standard interpretation of slopes with the value provided:
The correct interpretation is that for every hitting attempt added, the kills increases by 12, which isn't directly represented in any statement. So, technically, none of the statements are accurate based on the slope value provided. You may need to clarify the options given or provide more context for an accurate assessment.