Astorm flori performance most of the daily unit counts but the owner personally recorded that there was 61 units remaining after three days and 33 units remaining after 13 daysuse these two data points to determine the equationfor the line of best fit for the stores inventory write the answer in decimal form

  y = -2.8x +69.4

Step-by-step explanation:

The 2-point form of the equation of a line can be used to find the equation of the line through points (3, 61) and (13, 33). The general form of it is ...

   y = (y2-y1)/(x2-x1)·(x -x1) +y1

For the given points, this is ...

  y = (33 -61)/(13 -3)·(x -3) +61

  y = -28/10(x -3) +61

  y = -2.8x +69.4 . . . . . the equation of the line through the given points

Comment on the problem

A "line of best fit" is one that minimizes some measure of deviation from the line. Usually, what is minimized is the square of the deviations. Choosing two points to draw the line through may be convenient, but does not necessarily result in a line of best fit.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.