Question

the equation for the line of best fit is ( y = -22x + 260 ). according to the equation, which of these statements is true?
naomi likely had about 260 tortillas when the restaurant opened.
naomi was using about 260 tortillas per hour throughout the day.

Explanation:

Step1: Analyze the linear equation

The general form of a linear equation is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\)-intercept. In the equation \(y=-22x + 260\), \(x\) represents time (in hours) and \(y\) represents the number of tortillas left.

Step2: Interpret the \(y\)-intercept

When \(x = 0\) (at the time the restaurant opened, since \(x = 0\) hours of operation), we substitute \(x = 0\) into the equation \(y=-22x + 260\). Then \(y=-22\times0+260=260\). The slope \(m=-22\) means the number of tortillas is decreasing at a rate of 22 per hour.

Answer:

Naomi likely had about 260 tortillas when the restaurant opened.