In: Math
equation for part A ?(?) = −0.48?^2 + 7.2? + 63
equation for part B ?(?) = −?^2 + 8? + 84
the Georgia marching band discovers that the amount of time it spends playing “Glory, Glory to Old Georgia” has a direct impact on the number of points Georgia’s team scores. If the band plays for x minutes, then the Bulldogs will score ?(?) = −0.48?^2 + 7.2? + 63. points in the game. Assume the band can play for a maximum of 10 minutes
. a. How long should the band play to maximize the number of points Georgia scores? Show your work and explain.
b. The band affects how many points Tennessee scores as well. When the UGA band plays for x minutes the Volunteers score ?(?) = −?^2 + 8? + 84. points in the game. Find the number of minutes the band should play to maximize the margin of victory for Georgia (i.e., the points by which Georgia wins). Again, please show all work. [Hint: You should use both V (x) and B(x).]
c. What will be the score of the game you found in part (b)?