x(hitting attempts) f(x) = kills

Question

21 11
13 6
18 9
16 9
24 11
22 12
If the slope for the line of best fit is 1/2 interpret the representation of the slope and identify the accurate statement
She has about 2 kills for every hitting attempt
Her number of kills increases by 2 for every game
She has about 1 kill for every 2 hitting attempts
She has about 2 kills for every game

Answer 1

In the context of the given data, the function \( f(x) \) represents the number of kills based on hitting attempts \( x \). The slope of the line of best fit, which is \( \frac{1}{2} \), indicates the rate of change of kills with respect to hitting attempts.

1. Interpretation of the slope: The slope of \( \frac{1}{2} \) means that for every additional hitting attempt, the number of kills increases by \( \frac{1}{2} \). This translates to "for every 2 hitting attempts, there is approximately 1 kill."

Based on this interpretation, the accurate statement is:

• She has about 1 kill for every 2 hitting attempts.

The other statements do not accurately reflect the meaning of the slope \( \frac{1}{2} \).