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 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 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.
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Answer 1

To interpret the slope of the line of best fit, we need to understand that the slope represents the rate of change in the number of kills (f(x)) with respect to the number of hitting attempts (x).

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 game." - This doesn't directly relate to hitting attempts and doesn't accurately describe the slope.

2. "Ava’s number of kills increases by 2 for every game." - This also does not accurately reflect the slope of 12.

3. "Ava has about 2 kills for every hitting attempt." - This misrepresents the relationship; it suggests a fixed ratio rather than a rate of increase.

4. "Ava has about 1 kill for every 2 hitting attempts." - This implies a ratio but doesn't reflect the slope correctly.

None of these statements directly correlate to the slope of 12. However, if the slope were to be simplified, we can see that if we divide 12 kills by the total number of hitting attempts, we might find a different ratio, but here is where it seems that there is confusion.

The accurate statement regarding the slope being 12 is that for each additional hitting attempt, Ava’s number of kills increases by approximately 12 divided by the number of attempts she has per specific period, but it does not convey a concrete statement among the answers given.

If we consider that the slope 12 implies significant production, we recognize that something might be lost in the accuracy of the setup. Rather than suggesting there is a clear statement among the given responses, it would be correct to directly state “Ava’s number of kills increases by a proportional constant with each additional unit increase in hitting attempts based on this data ratio.”

With that being said, the best fit among existing responses isn't present based on calculated context, and thoughtful evaluation recommends revision or clarification for future query implementations.

So the most fitting explanation of the slope would be communicated as, “Ava's productivity rate seems to rise significantly per attempts made,” which isn’t mirrored perfectly in any of the statements presented directly.