To estimate the number of free throws each player will make in their next 60 attempts based on their free throw percentages, we can set up equations similar to the one for the best player.
Part 1
You already have calculated the number of free throws for the best player:
Best Player (70%): \[ \frac{70}{100} = \frac{x}{60} \]
Cross-multiplying: \[ 70 \times 60 = 100 \times x \] \[ 4200 = 100x \] \[ x = \frac{4200}{100} = 42 \]
The best player will make about 42 free throws.
Part 2
For the second-best player (65%), we use the following equation:
Second-Best Player (65%): \[ \frac{65}{100} = \frac{y}{60} \]
Cross-multiplying: \[ 65 \times 60 = 100 \times y \] \[ 3900 = 100y \] \[ y = \frac{3900}{100} = 39 \]
The second-best player will make about 39 free throws.
Part 3
Now for the third-best player (60%), we can set up a similar equation:
Third-Best Player (60%): \[ \frac{60}{100} = \frac{z}{60} \]
Cross-multiplying: \[ 60 \times 60 = 100 \times z \] \[ 3600 = 100z \] \[ z = \frac{3600}{100} = 36 \]
The third-best player will make about 36 free throws.
Summary
- Best Player: 42 free throws
- Second-Best Player: 39 free throws
- Third-Best Player: 36 free throws