Question

the equation for the line of best fit is y = -4x + 48. according to the equation, which of these statements is true? each additional volunteer decreases the time it takes to feed the horses by about 48 minutes. each additional volunteer decreases the time it takes to feed the horses by about 4 minutes.

Explanation:

Step1: Identify slope - intercept form

The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. Here, the line of best fit is $y=-4x + 48$, so $m=-4$ and $b = 48$.

Step2: Interpret the slope

In the context of the problem, $x$ represents the number of volunteers and $y$ represents the time in minutes. The slope $m=-4$ means that for every increase of 1 in $x$ (i.e., each additional volunteer), $y$ (the time) decreases by 4 units (4 minutes).

Answer:

Each additional volunteer decreases the time it takes to feed the horses by about 4 minutes.