Question

The best player on a basketball team makes 85​% of all free throws. The​ second-best player makes 75​% of all free throws. The​ third-best player makes 65​% of all free throws. Based on their experimental​ probabilities, estimate the number of free throws each player will make in his or her next 40 attempts. Explain.
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Part 1
For the best​ player, one equation that gives the estimated number of free throws is
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StartFraction 85 Over 100 EndFraction equals StartFraction 40 Over x EndFraction .
StartFraction 85 Over 100 EndFraction equals StartFraction 1 Over x EndFraction .
StartFraction 85 Over 100 EndFraction equals StartFraction x Over 40 EndFraction .
StartFraction 85 Over 100 EndFraction equals x.
The best player will make about
  
enter your response here free throws.

Answer 1

To estimate the number of free throws the best player will make out of 40 attempts, we will use the probability of making the free throws, which is 85% (or 0.85).

To find how many free throws he will make, you can simply multiply his success rate by the number of attempts:

\[
\text{Estimated Free Throws Made} = (\text{Success Rate}) \times (\text{Number of Attempts})
\]

So for the best player:

\[
\text{Estimated Free Throws Made} = 0.85 \times 40
\]

Calculating this:

\[
0.85 \times 40 = 34
\]

This shows that the best player is expected to make about 34 free throws in his next 40 attempts.

In terms of the equation choices given, the appropriate one that relates the success rate and the number of successful attempts would be:

\[
\frac{85}{100} = \frac{x}{40}
\]

Thus, for the best player, the estimated number of free throws he will make is about **34**.