Mikey and some of his friends went to play paintball yesterday. the park where they played charges $5.54 per game they play for each person. if mikey brought 7 friends with him, and the total amount they paid was $221.60, how many games of paintball did they play?
a.
40
b.
28
c.
6
d.
5

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.