Question

the birchstone bicycling club organizes bike rides for the public every summer. this scatter plot shows the distance of each ride last summer and the number of people who signed up for that ride. the scatter plot also shows the line of best fit. bike rides the equation for the line of best fit is y = -2x + 48. according to the equation, which of these statements is true? the number of people who sign up for a bike ride decreases by about 48 people for each additional mile. the number of people who sign up for a bike ride decreases by about 2 people for each additional mile.

Explanation:

Step1: Recall 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 given equation $y=-2x + 48$, $m=-2$ and $b = 48$.

Step2: Interpret the slope

The slope $m$ represents the rate of change of $y$ with respect to $x$. Here, $x$ is the distance of the bike - ride in miles and $y$ is the number of people who sign up. A slope of $m=-2$ means that for every increase of 1 in $x$ (each additional mile), $y$ (the number of people who sign up) decreases by 2.

Answer:

The number of people who sign up for a bike ride decreases by about 2 people for each additional mile.