So far this season, Shawn has averaged 6 out of 11 free throws per game. Based on his previous performance, how many free throws can Shawn expect to make if he takes 22 free throws in his next game?
If Shawn has averaged 6 out of 11 free throws per game so far this season, his free throw percentage is 6/11 * 100 = <<6/11*100=54.54>>54.54%.
So, Shawn can expect to make 54.54/100 * 22 = <<54.54/100*22=11.9988>>11.9988 free throws in his next game.
Rounded to the nearest whole number, Shawn can expect to make 12 free throws in his next game. Answer: \boxed{12}.
To find out how many free throws Shawn can expect to make in his next game, we can use his average free throw percentage.
Step 1: Calculate his average free throw percentage.
To do this, divide the number of successful free throws by the total number of free throws attempted.
Shawn's average free throw percentage = (6/11) * 100 = 54.55%
Step 2: Calculate the number of free throws Shawn is expected to make in the next game.
Multiply the average free throw percentage by the number of free throws attempted in the next game.
Expected number of free throws made = (54.55/100) * 22
Calculating this:
(54.55/100) * 22 = 11.99
Therefore, Shawn can expect to make approximately 12 free throws in his next game.