So far this season, Shawn has averaged 5 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?

Question

A.
15
B.
10
C.
5
D.
6

Answer 1

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.