2) 3-Point Shots How many 3-point shots each game did Stephen Curry make in his best season? How many 3-point shots each game did Michael Jordan make in his best season? a) How many times as many 3-point shots did Stephen Curry make each game as Michael Jordan? You may use a drawing/visual representation, equations and expressions to help explain or support your answer.

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UpStudy AI · Accepted Answer

To solve this problem, we need to extract the known conditions regarding the 3-point shots made by Stephen Curry and Michael Jordan in their best seasons.

### Known Conditions:
1. **Stephen Curry's Best Season:**
   - In the 2015-2016 NBA season, Stephen Curry made an average of 5.1 three-point shots per game.

2. **Michael Jordan's Best Season:**
   - In the 1990-1991 NBA season, Michael Jordan made an average of 2.9 three-point shots per game.

### Step-by-Step Solution:

1. **Identify the Average 3-Point Shots Made:**
   - Let $$ S $$ be the average number of 3-point shots made by Stephen Curry per game.
   - Let $$ M $$ be the average number of 3-point shots made by Michael Jordan per game.
   - From the known conditions:
     $$
     S = 5.1
     $$
     $$
     M = 2.9
     $$

2. **Calculate How Many Times as Many 3-Point Shots Curry Made Compared to Jordan:**
   - We need to find the ratio of $$ S $$ to $$ M $$:
     $$
     \text{Ratio} = \frac{S}{M}
     $$

3. **Substituting the Values:**
   $$
     \text{Ratio} = \frac{5.1}{2.9}
   $$

Now, let's calculate this ratio.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{5.1}{2.9}$$
- step1: Convert the expressions:
  $$\frac{\frac{51}{10}}{\frac{29}{10}}$$
- step2: Multiply by the reciprocal:
  $$\frac{51}{10}\times \frac{10}{29}$$
- step3: Reduce the numbers:
  $$51\times \frac{1}{29}$$
- step4: Multiply:
  $$\frac{51}{29}$$
The ratio of the average number of 3-point shots made by Stephen Curry to that made by Michael Jordan is approximately:

$$
\text{Ratio} \approx 1.76
$$

### Conclusion:
- Stephen Curry made about **1.76 times** as many 3-point shots per game as Michael Jordan did in their best seasons.

### Visual Representation:
To visualize this, we can represent the average 3-point shots made by each player as bars in a bar graph:

- **Stephen Curry:** 5.1 (height of the bar)
- **Michael Jordan:** 2.9 (height of the bar)

This visual representation would show that Curry's bar is significantly taller than Jordan's, illustrating that he made more 3-point shots per game.

### Summary:
- Stephen Curry: 5.1 3-point shots/game
- Michael Jordan: 2.9 3-point shots/game
- Ratio: $$ \approx 1.76 $$ (Curry made about 1.76 times as many 3-point shots per game as Jordan).
Stephen Curry made approximately 1.76 times as many 3-point shots per game as Michael Jordan in their best seasons.

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