Question

the equation for the line of best fit is y = \frac{1}{12}x+\frac{1}{3}. according to the equation, which of these statements is true? a typical customer picks about \frac{1}{3} of a pound of blueberries per minute. a typical customer picks about \frac{1}{12} of a pound of blueberries per minute.

Explanation:

Step1: Identify the 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 equation of the line of best fit is $y=\frac{1}{12}x+\frac{1}{3}$, and $m = \frac{1}{12}$, $b=\frac{1}{3}$.

Step2: Interpret the slope

In the context of the problem, $x$ represents time in minutes and $y$ represents pounds of blueberries. The slope $m=\frac{1}{12}$ represents the rate of change of $y$ with respect to $x$. So for every 1 - unit increase in $x$ (1 minute increase in time), $y$ (pounds of blueberries) increases by $\frac{1}{12}$ of a pound. That means a typical customer picks about $\frac{1}{12}$ of a pound of blueberries per minute.

Answer:

B. A typical customer picks about $\frac{1}{12}$ of a pound of blueberries per minute.