To determine how many free throws Shawn can expect to make if he takes 22 free throws in his next game, we can use his current average.
Shawn's average is 5 out of 11 free throws, which we can express as a fraction:
\[ \text{Shooting Percentage} = \frac{5}{11} \]
Now, if Shawn takes 22 free throws, we can calculate the expected number of makes based on his shooting percentage:
\[ \text{Expected Makes} = \text{Shooting Percentage} \times \text{Total Free Throws} \] \[ \text{Expected Makes} = \frac{5}{11} \times 22 \]
Calculating that gives:
\[ \text{Expected Makes} = \frac{5 \times 22}{11} = \frac{110}{11} = 10 \]
Therefore, Shawn can expect to make 10 free throws if he takes 22.
The answer is B. 10.