Final answer:
Based on the team's previous success rate of making 17 out of 30 free throws, the expected number of free throws they will make out of 210 attempts is 119. This is determined by multiplying 210 by their success rate of approximately 0.5667. The closest answer option is B. 120 free throws.
Step-by-step explanation:
The question involves calculating the expected number of free throws made based on the previous success rate. Initially, the team made 17 out of 30 free throws. This success rate can be represented as a fraction, which is ∗/30 or approximately 0.5667 (rounded to four decimal places).
To find the number of free throws they will make out of 210 attempts if their success rate remains the same, we multiply 210 by the success rate:
Expected free throws made = 210 × 0.5667 = 119.007
Since the team cannot make a fraction of a free throw, we round down to the closest whole number, which is 119 free throws. Therefore, the correct answer is B. 120 free throws, as the given options are rounded to the nearest ten.