Question

baseball shirts
the equation for the line of best fit is ( y = - 6 x + 125 ). according to the equation, which of these statements is true?
the manager was selling about 125 shirts each day.
the manager likely started out with about 125 shirts.

Explanation:

Step1: Analyze the linear equation \(y = - 6x+125\)

In the linear equation \(y = mx + b\) (where \(m\) is the slope and \(b\) is the \(y\) - intercept), for the equation \(y=-6x + 125\), when \(x = 0\) (the starting point, since \(x\) represents the number of days and at \(x = 0\) days have passed), we substitute \(x = 0\) into the equation.

Step2: Calculate \(y\) - value at \(x = 0\)

Substitute \(x = 0\) into \(y=-6x + 125\). We get \(y=-6\times0+125\). Using the order of operations (multiplication first: \(-6\times0 = 0\)), then \(y=0 + 125=125\). The \(y\) - value when \(x = 0\) represents the initial number of shirts. The slope \(-6\) means that the number of shirts decreases by 6 per day.

Answer:

The manager likely started out with about 125 shirts.