6. Four friends play a game. At the end the game, each player counts the number of points they earned and rolls a die. The bonus score is equal to the number rolled
multiplied by the square root of the number of points earned. The table below shows
each friend's bonus score.
Friend
Bonus Score
Jackie
2 x V 82
Philip
3 x V 51
Cassidy
6 V 19
Antonio
2 v 56
Which of the following lists the friends from highest to lowest bonus score?
No

Cassidy

6 V 19=26

Philip

3 x V 51=21

Jackie

2 x V 82=18

Antonio

2 v 56=14

I hope this is good enough:

i believe the answer is d.

hope it you! : d

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.