Question

january mountain ski resort
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^{circ}f ) increase in the daily high temperature.
there would be about 25 skiers on a day with a high temperature of ( 0^{circ}f ).

Explanation:

Step1: Analyze the linear equation \(y = 5x+25\)

The general form of a linear equation is \(y=mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept.

Step2: Interpret the slope (\(m\)) and \(y\) - intercept (\(b\))

For the equation \(y = 5x+25\), the slope \(m = 5\) means that for each \(1^{\circ}F\) increase in temperature (\(x\)), the number of skiers (\(y\)) increases by \(5\). The \(y\) - intercept \(b = 25\) means when \(x = 0\) (i.e., when the high temperature is \(0^{\circ}F\)), \(y=5\times0 + 25=25\).

Answer:

There would be about 25 skiers on a day with a high temperature of \(0^{\circ}F\).