Answer
A; $2.5$
Work Step by Step
Find the difference of the average of the first nine games and the average of the first eight games to find how much the team's average will change.
Average of the first eight games:
$\frac{65+58+72+74+82+67+75+71}{8}$
$=\frac{564}{8}$
$=70.5$
Average of the first nine games:
$\frac{564+93}{9}$
$=\frac{657}{9}$
$=73$
Difference of the average of the first nine games and the average of the first eight games is:
$73-70.5=2.5$
The team's average score will increase by $2.5$ if they score 93 points in the ninth game.
