S(x) =
400
(x2 + 1)
gives the number of unit sales in x days after a grocery store reduces the price for Crispy Cereal. To the nearest whole unit, how many unit sales will there be 3 days after the price reduction?

A) 4 units
B) 8 units
C) 40 units
D) 80 units

The answer is C 40 Units

Step-by-step explanation:

I just got the answer wrong, I chose B but that was incorrect. The correct answer is C

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.