Question
Using the graph of seniors in math classes, if there are 432 students in the senior class, how many were in each math course? Identify each course and the number of seniors in it. Show your work.
a circle graph with 36% Consumer Math, 27% Geometry, 4% Precalculus, and 33% Advanced Algebra
a circle graph with 36% Consumer Math, 27% Geometry, 4% Precalculus, and 33% Advanced Algebra
Answers
GPT-4o mini
To determine how many seniors are in each math course based on the percentages provided, we can follow these steps:
1. **Calculate the total number of students**: The total number of seniors is given as 432.
2. **Calculate the number of students in each course**: We will multiply the total number of students by the percentage of students in each course (expressed as a decimal).
Here is the breakdown for each course:
- **Consumer Math**:
- Percentage: 36%
- Calculation:
\[
\text{Number of students} = 432 \times 0.36 = 155.52 \approx 156 \text{ students}
\]
- **Geometry**:
- Percentage: 27%
- Calculation:
\[
\text{Number of students} = 432 \times 0.27 = 116.64 \approx 117 \text{ students}
\]
- **Precalculus**:
- Percentage: 4%
- Calculation:
\[
\text{Number of students} = 432 \times 0.04 = 17.28 \approx 17 \text{ students}
\]
- **Advanced Algebra**:
- Percentage: 33%
- Calculation:
\[
\text{Number of students} = 432 \times 0.33 = 142.56 \approx 143 \text{ students}
\]
Now, let's compile the results for clarity:
- **Consumer Math**: 156 students
- **Geometry**: 117 students
- **Precalculus**: 17 students
- **Advanced Algebra**: 143 students
### Summary of the Number of Seniors in Each Math Course:
1. **Consumer Math**: 156 students
2. **Geometry**: 117 students
3. **Precalculus**: 17 students
4. **Advanced Algebra**: 143 students
This distribution reflects the allocation of the 432 seniors across the various math courses based on the given percentages in the circle graph.
1. **Calculate the total number of students**: The total number of seniors is given as 432.
2. **Calculate the number of students in each course**: We will multiply the total number of students by the percentage of students in each course (expressed as a decimal).
Here is the breakdown for each course:
- **Consumer Math**:
- Percentage: 36%
- Calculation:
\[
\text{Number of students} = 432 \times 0.36 = 155.52 \approx 156 \text{ students}
\]
- **Geometry**:
- Percentage: 27%
- Calculation:
\[
\text{Number of students} = 432 \times 0.27 = 116.64 \approx 117 \text{ students}
\]
- **Precalculus**:
- Percentage: 4%
- Calculation:
\[
\text{Number of students} = 432 \times 0.04 = 17.28 \approx 17 \text{ students}
\]
- **Advanced Algebra**:
- Percentage: 33%
- Calculation:
\[
\text{Number of students} = 432 \times 0.33 = 142.56 \approx 143 \text{ students}
\]
Now, let's compile the results for clarity:
- **Consumer Math**: 156 students
- **Geometry**: 117 students
- **Precalculus**: 17 students
- **Advanced Algebra**: 143 students
### Summary of the Number of Seniors in Each Math Course:
1. **Consumer Math**: 156 students
2. **Geometry**: 117 students
3. **Precalculus**: 17 students
4. **Advanced Algebra**: 143 students
This distribution reflects the allocation of the 432 seniors across the various math courses based on the given percentages in the circle graph.