Question

the equation for the line of best fit is y = 5x + 25. according to the equation, which of these statements is true? on average, there would be about 25 additional skiers for each 1°f increase in the daily high temperature. there would be about 25 skiers on a day with a high temperature of 0°f.

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 $y = 5x+25$, $m = 5$ and $b = 25$.

Step2: Analyze the y - intercept

When $x = 0$ (high temperature $x = 0^{\circ}F$), substituting $x = 0$ into $y = 5x + 25$ gives $y=5\times0 + 25=25$. So there would be about 25 skiers on a day with a high temperature of 0°F.

Step3: Analyze the slope

The slope $m = 5$ means that on average, there are 5 additional skiers for each 1°F increase in the daily high temperature, not 25.

Answer:

There would be about 25 skiers on a day with a high temperature of 0°F.