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

To find how many free throws Asia is likely to make if she shoots 150 free throws, we can set up a proportion based on her average performance of 14 out of 20 free throws.

We have the proportion:
\[
\frac{14}{20} = \frac{x}{150}
\]
where \(x\) is the number of free throws she is expected to make out of 150.

Now solve for \(x\):

\[
x = \frac{14}{20} \times 150 = 0.7 \times 150 = 105
\]

So, Asia is likely to make 105 free throws out of 150.

### How many more free throws?
Currently, she shoots 20 free throws and makes 14, so she makes 14 free throws in a smaller sample. If she shoots 150, the difference between the number of free throws made will be:
\[
105 - 14 = 91
\]

Thus, she is likely to make **91 more free throws** if she shoots 150 free throws compared to 20.

Would you like further details or have any questions?

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Here are 5 related questions:
1. What would be the expected number of free throws made if she shot 300 times?
2. How many free throws would she make on average out of 50 attempts?
3. If her shooting percentage improves to 80%, how many would she make out of 150?
4. What is her free throw percentage based on the current 14 out of 20 success rate?
5. How many free throws would she make if her success rate dropped to 60%?

**Tip**: Proportions are an efficient way to predict outcomes when relationships are consistent or directly proportional.

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?

Learn how to predict the number of free throws Asia will make out of 150 attempts based on her current success rate of 14 out of 20. This proportional relationship demonstrates key concepts in ratios and proportional reasoning, suitable for Grades 6-8.

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