Coach Jones stresses the importance
of free throws during basketball
practice. The day before each game,
everyone on the team shoots 20 free
throws, and he charts their progress as
the season goes by. If Nathan made 7
out of 20 on the first day of practice,
and most recently he made 11 out of 20,
by what percent has his free throw
completion rate changed? Round your
answer to the nearest hundredth of a
percent.
To find the percent change, we need to calculate the difference between Nathan's first and most recent free throw completion rates, divide by the original rate, and multiply by 100%.
First, we need to convert the number of free throws made into completion rates:
- First day: 7/20 = 0.35 or 35%
- Most recent: 11/20 = 0.55 or 55%
Now we can calculate the percent change:
- Percent change = ((new rate - old rate) / old rate) x 100%
- Percent change = ((0.55 - 0.35) / 0.35) x 100%
- Percent change = (0.2 / 0.35) x 100%
- Percent change = 57.14%
Rounding to the nearest hundredth of a percent, we get:
- Percent change = 57.14% (rounded)