During the first half of a basketball game, a team made 40% of their 35 field goal attempts. During the second half, they scored on only 25% of 32 attempts from the field. What was their field goal shooting percentage for the entire game? The team's field goal shooting percentage for the entire game was (Round to the nearest whole number as needed.)
During the first half of a basketball game, a team made 40% of their 35 field goal attempts. During the second half, they scored on only 25% of 32 attempts from the field. What was their field goal shooting percentage for the entire game? The team's field goal shooting percentage for the entire game was (Round to the nearest whole number as needed.)
Algebra and Trigonometry (6th Edition)
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![### Field Goal Shooting Percentage Calculation
**Problem Statement:**
During the first half of a basketball game, a team made 40% of their 35 field goal attempts. During the second half, they scored on only 25% of 32 attempts from the field. What was their field goal shooting percentage for the entire game?
**Solution:**
1. **Calculate the number of successful field goals in the first half:**
\[
\text{Number of successful field goals in the first half} = 0.4 \times 35 = 14
\]
2. **Calculate the number of successful field goals in the second half:**
\[
\text{Number of successful field goals in the second half} = 0.25 \times 32 = 8
\]
3. **Calculate the total number of successful field goals for the entire game:**
\[
\text{Total successful field goals} = 14 + 8 = 22
\]
4. **Calculate the total number of field goal attempts for the entire game:**
\[
\text{Total field goal attempts} = 35 + 32 = 67
\]
5. **Calculate the field goal shooting percentage for the entire game:**
\[
\text{Field goal shooting percentage} = \left( \frac{22}{67} \right) \times 100 \approx 32.84\%
\]
**Conclusion:**
The team's field goal shooting percentage for the entire game was approximately \( \boxed{33} \% \). (Round to the nearest whole number as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdae00ab4-d615-48c1-8bca-63853cfbe238%2Fc05b6a1b-8d29-4d69-bd7a-51d0e44a791e%2Ffgtvags_processed.png&w=3840&q=75)
Transcribed Image Text:### Field Goal Shooting Percentage Calculation
**Problem Statement:**
During the first half of a basketball game, a team made 40% of their 35 field goal attempts. During the second half, they scored on only 25% of 32 attempts from the field. What was their field goal shooting percentage for the entire game?
**Solution:**
1. **Calculate the number of successful field goals in the first half:**
\[
\text{Number of successful field goals in the first half} = 0.4 \times 35 = 14
\]
2. **Calculate the number of successful field goals in the second half:**
\[
\text{Number of successful field goals in the second half} = 0.25 \times 32 = 8
\]
3. **Calculate the total number of successful field goals for the entire game:**
\[
\text{Total successful field goals} = 14 + 8 = 22
\]
4. **Calculate the total number of field goal attempts for the entire game:**
\[
\text{Total field goal attempts} = 35 + 32 = 67
\]
5. **Calculate the field goal shooting percentage for the entire game:**
\[
\text{Field goal shooting percentage} = \left( \frac{22}{67} \right) \times 100 \approx 32.84\%
\]
**Conclusion:**
The team's field goal shooting percentage for the entire game was approximately \( \boxed{33} \% \). (Round to the nearest whole number as needed.)
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