Question

Lonnie threw 50 free throws and missed 16 of them. If Lonnie throws 75 free throws, what can be predicted about the number she will make successfully?
Lonnie will make 24 free throws.
Lonnie will make 51 free throws.
Lonnie will make 59 free throws.
Lonnie will make 66 free throws.

Answer 1

To predict how many free throws Lonnie will make out of 75 based on her performance of throwing 50 free throws and missing 16 of them, we first need to calculate her free throw percentage.

1. **Calculate total successful throws from the initial 50 attempts:**
\[
\text{Successful Free Throws} = \text{Total Free Throws} - \text{Missed Free Throws} = 50 - 16 = 34
\]

2. **Calculate the free throw percentage:**
\[
\text{Free Throw Percentage} = \frac{\text{Successful Free Throws}}{\text{Total Free Throws}} = \frac{34}{50} = 0.68 \text{ or } 68\%
\]

3. **Predict the number of successful throws out of 75 attempts using this percentage:**
\[
\text{Predicted Successful Free Throws} = \text{Free Throw Percentage} \times \text{Total Free Throws Attempted} = 0.68 \times 75
\]
\[
\text{Predicted Successful Free Throws} = 51
\]

Thus, if Lonnie throws 75 free throws, we can predict that she will make approximately 51 successful free throws.

The correct answer is:
**Lonnie will make 51 free throws.**