Answer:
n = (-1000/3)p + (97000)/3)
Step-by-step explanation:
The data given says, in effect, that the linear equation based on price passes through 2 points (82, 5000) and (91, 2000), given two points on a line, we'll use the point-slope form to start. To use this we must first find the slope
m = (y2 - y1) / (x2 - x1) = (2000 - 5000) / (91 - 82) = -3000 / 9 = -1000/3
(I like to leave slopes as fractions <rather than decimal> since fractions are more accurate)
point-slope form
y - y0 = m(x - x0) at some point (x0, y0) with slope m, we'll use (91, 2000)
y - 2000 = (-1000/3)(x - 91), distribute
y - 2000 = (-1000/3)x + 91000/3, add 2000 to each side
y = (-1000/3)x +97000/3
oops, substitute p for x and n for y
n = (-1000/3)p + (97000)/3)
