https://file.aiquickdraw.com/mathbot/file/1725578777357dia3maav.jpg

Let's break down the problem and solve it.

**Problem:**
- Asia makes 14 out of 20 free throws.
- We need to find how many free throws she is likely to make if she shoots 150 free throws, assuming a proportional relationship.

### Step-by-step solution:
1. First, calculate her success rate from the given dataLet's break down the problem and solve it.

**Problem:**
- Asia makes 14 out of 20 free throws.
- We need to find how many free throws she is likely to make if she shoots 150 free throws, assuming a proportional relationship.

### Step-by-step solution:
1. First, calculate her success rate from the given 
   \[
   \text{Success Rate} = \frac{14}{20} = 0.7
   \]
   This means Asia makes 70% of her free throws.

2. Now, we will apply this success rate to 150 free throws:
   \[
   \text{Expected Free Throws Made} = 0.7 \times 150 = 105
   \]

3. To find how many **more** free throws she makes compared to her previous attempts (14), subtract:
   \[
   105 - 14 = 91
   \]

So, Asia is likely to make **91 more free throws** if she shoots 150 times.

---

Would you like a detailed explanation of any step? Here are 5 related questions for further practice:

1. If Asia improved her success rate to 80%, how many free throws would she make out of 150 attempts?
2. What would be the result if Asia had a 65% success rate and attempted 200 free throws?
3. How many free throws would she need to attempt to make 140 shots, keeping the same 70% success rate?
4. If she attempted 300 free throws, how many would she miss at her current 70% success rate?
5. What is the percentage increase in free throws made when comparing 14 to 105?

**Tip:** When solving problems with proportional relationships, always use ratios or percentages to simplify calculations.

On average, Asia makes 14 out of 20 free throws. Assuming the relationship is proportional, how many more free throws is she likely to make if she shoots 150 free throws?

Explore how to calculate the number of successful free throws Asia would likely make if she attempts 150 shots. With a 70% success rate (14 out of 20 free throws), this problem teaches students how to apply proportional relationships to real-world scenarios. Suitable for Grades 6-8.

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