This question is incomplete and not well written.
Complete question:
During last year's basketball season, Jackson attempted
150 free throws of which he made
120. So far this season, he's attempted 24 and made 16. A player's free-throw percentage is defined to be the percent of free-throws made out of the number of free-throws attempted. Assuming calculations began with the start of last year's season, which of the following best approximates Jackson's overall free-throw percentage to date?
A. 67%
B. 73%
C. 78%
D. 80%
Answer:
B. 73%
Explanation:
In the question, we are told that:
A player's free-throw percentage is defined to be the percent of free-throws made out of the number of free-throws attempted
Mathematically
Percent (% ) Free throw = (Number if free throws made ÷ Number of free throws attempted)× 100
For Last year, Jackson attempted
150 free throws of which he made
120
Percent (% ) Free throw = (Number if free throws made ÷ Number of free throws attempted) × 100
Percent(%) Free throw = (120÷150) × 100
= 80%
This season, he's attempted 24 and made 16
Percent (% ) Free throw = (Number if free throws made ÷ Number of free throws attempted) × 100
Percent(%) Free throw = (16÷24) × 100
= 66.67%
Approximately = 67%
The best approximation for Jackson's overall free-throw percentage to date is
(Percent Free Throw for last season + Percent Free Throw for this season) ÷ 2
Percent Free Throw for last season
= 80%
Percent Free Throw for this season = 66.67%
Therefore, (80% + 66.67%) ÷ 2
= 146.67% ÷ 2
= 73.335%
Approximately = 73%
Therefore, Jackson's overall free-throw percentage to date is 73%
