Step 1 :We are given two points on the line: (24000, 76) and (41000, 25).
Step 2 :We can use these two points to find the slope of the line, which is given by the formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\).
Step 3 :Once we have the slope, we can use the point-slope form of a line, \(y - y_1 = m(x - x_1)\), to find the equation of the line.
Step 4 :We can then rearrange this equation to the slope-intercept form, \(y = mx + b\).
Step 5 :The slope of the line is -0.003 and the y-intercept is 148.0.
Step 6 :Therefore, the equation of the line is \(p = -0.003n + 148\). This equation gives the price \(p\) they can charge for \(n\) shirts.
Step 7 :\(\boxed{p = -0.003n + 148}\)