Question

leroy has led the story hour at deer creek library every week for the past few months. this scatter plot shows the number of children who attended each story hour and the total number of books they checked out during that story hour. the scatter plot also shows the line of best fit. the equation for the line of best fit is y = 3x + 1. according to the equation, which of these statements is true? for each additional child at story hour, about 3 more books get checked out. for every 3 additional children at story hour, about 1 more book gets checked out.

Explanation:

Step1: Analyze slope - intercept form

The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. In the equation $y = 3x+1$, $m = 3$ and $b = 1$.

Step2: Interpret the slope

The slope $m$ represents the rate of change. Here, $x$ is the number of children and $y$ is the number of books checked out. For a unit increase in $x$ (one additional child), $y$ (number of books checked out) increases by $m$ (3).

Answer:

For each additional child at story hour, about 3 more books get checked out.