Question

n-joy outside is a store that specializes in outdoor gear and clothing. the manager keeps track of the snowfall each winter and the number of jackets the store sold that winter. this scatter plot shows the records for the past few years along with the line of best fit. winter jacket sales the equation for the line of best fit is y = 3x + 75. according to the equation, which of these statements is true? the store sells about 75 jackets for each inch of snowfall. in a winter without any snow, the store would likely sell about 75 jackets.

Explanation:

Step1: Analyze the linear - equation form

The equation of the line of best fit is $y = 3x+75$, which is in the slope - intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. Here, $m = 3$ and $b = 75$.

Step2: Interpret the slope and y - intercept

The slope $m = 3$ means that for each additional inch of snowfall ($x$ increases by 1), the number of jackets sold ($y$) increases by 3. The y - intercept $b = 75$ represents the value of $y$ when $x = 0$. In the context of the problem, when $x = 0$ (no snowfall), $y=75$. This means that in a winter without any snow, the store would likely sell about 75 jackets.

Answer:

In a winter without any snow, the store would likely sell about 75 jackets.