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’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.

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.

Answer 1

The slope of the line of best fit represents the change in the number of kills (f(x)) relative to the change in hitting attempts (x). In this case, a slope of 12 means that for every additional hitting attempt, Ava's number of kills increases by approximately 12, assuming the slope value is interpreted correctly in the context of the data provided.

Let's analyze the provided choices based on the given slope of 12:

1. **Ava’s number of kills increases by 2 for every game.**
- This statement is inaccurate given the slope of 12.

2. **Ava has about 1 kill for every 2 hitting attempts.**
- This statement is also inaccurate; if we derive kills per hitting attempt based on the slope, it does not match this description.

3. **Ava has about 2 kills for every hitting attempt.**
- This statement is misleading; you cannot have 2 kills for every hitting attempt if the slope is 12.

4. **Ava has about 2 kills for every game.**
- This statement does not relate to the slope of 12 correctly.

None of the provided statements accurately interpret the slope of 12. The slope suggests that for **every hitting attempt**, kills increase by **12**, not by the amounts stated in any of the choices. If the slope were actually miscommunicated or incorrect, please ensure the correct values or the context of the slope to provide the accurate interpretation. However, if we must choose from the statements provided, then they each represent different interpretations that don't align with the numeric slope.

If forced to select one, the option referring to kills for hitting attempts needs reviewing since 12 kills would mean more than what's represented in choices provided; thus they are all misleading or inaccurate based on the stated slope being 12.