Question
The table shows the number of students in the senior class and the number of seniors who have a divers license.
What pattern is there between the number of seniors and the seniors who have a driver's license?
The class of 2025 has 415 seniors how many seniors in the class of 20245 would expected to have a driver's license?
Table
Year 2021 2022 2023 2024
number of seniors 343 367 308 377
Seniors with license 219 236 197 240
Each year about _ seniors do not have a driver's license
Each year about __ % of the senior class have a driver license
What pattern is there between the number of seniors and the seniors who have a driver's license?
The class of 2025 has 415 seniors how many seniors in the class of 20245 would expected to have a driver's license?
Table
Year 2021 2022 2023 2024
number of seniors 343 367 308 377
Seniors with license 219 236 197 240
Each year about _ seniors do not have a driver's license
Each year about __ % of the senior class have a driver license
Answers
GPT-4o mini
To analyze the pattern between the number of seniors and those with a driver's license, we can first look at the data provided in the table:
- **Year 2021**: 343 seniors, 219 with a license
- **Year 2022**: 367 seniors, 236 with a license
- **Year 2023**: 308 seniors, 197 with a license
- **Year 2024**: 377 seniors, 240 with a license
### Finding the Pattern
1. **Calculating Seniors without Licenses:**
- For each year, we can calculate the number of seniors who do not have a driver's license:
- 2021: \( 343 - 219 = 124 \)
- 2022: \( 367 - 236 = 131 \)
- 2023: \( 308 - 197 = 111 \)
- 2024: \( 377 - 240 = 137 \)
**Average number of seniors without a driver's license:**
\[
\text{Average} = \frac{124 + 131 + 111 + 137}{4} = \frac{503}{4} = 125.75 \approx 126
\]
So, **each year about 126 seniors do not have a driver's license**.
2. **Calculating Percentage of Seniors with Licenses:**
- We can also calculate the percentage of seniors that have a driver's license for each year:
- 2021: \( \frac{219}{343} \times 100 \approx 63.9\% \)
- 2022: \( \frac{236}{367} \times 100 \approx 64.2\% \)
- 2023: \( \frac{197}{308} \times 100 \approx 64.0\% \)
- 2024: \( \frac{240}{377} \times 100 \approx 63.7\% \)
**Average percentage of seniors with a driver's license:**
\[
\text{Average Percentage} = \frac{63.9 + 64.2 + 64.0 + 63.7}{4} \approx 63.975\% \approx 64\%
\]
So, **each year about 64% of the senior class have a driver's license**.
### Estimating for the Class of 2025
With 415 seniors in the class of 2025, we can estimate how many would be expected to have a driver's license:
\[
\text{Expected with license} = 0.64 \times 415 \approx 265.6 \approx 266
\]
Thus, for the class of 2025, we would expect about **266 seniors to have a driver's license**.
- **Year 2021**: 343 seniors, 219 with a license
- **Year 2022**: 367 seniors, 236 with a license
- **Year 2023**: 308 seniors, 197 with a license
- **Year 2024**: 377 seniors, 240 with a license
### Finding the Pattern
1. **Calculating Seniors without Licenses:**
- For each year, we can calculate the number of seniors who do not have a driver's license:
- 2021: \( 343 - 219 = 124 \)
- 2022: \( 367 - 236 = 131 \)
- 2023: \( 308 - 197 = 111 \)
- 2024: \( 377 - 240 = 137 \)
**Average number of seniors without a driver's license:**
\[
\text{Average} = \frac{124 + 131 + 111 + 137}{4} = \frac{503}{4} = 125.75 \approx 126
\]
So, **each year about 126 seniors do not have a driver's license**.
2. **Calculating Percentage of Seniors with Licenses:**
- We can also calculate the percentage of seniors that have a driver's license for each year:
- 2021: \( \frac{219}{343} \times 100 \approx 63.9\% \)
- 2022: \( \frac{236}{367} \times 100 \approx 64.2\% \)
- 2023: \( \frac{197}{308} \times 100 \approx 64.0\% \)
- 2024: \( \frac{240}{377} \times 100 \approx 63.7\% \)
**Average percentage of seniors with a driver's license:**
\[
\text{Average Percentage} = \frac{63.9 + 64.2 + 64.0 + 63.7}{4} \approx 63.975\% \approx 64\%
\]
So, **each year about 64% of the senior class have a driver's license**.
### Estimating for the Class of 2025
With 415 seniors in the class of 2025, we can estimate how many would be expected to have a driver's license:
\[
\text{Expected with license} = 0.64 \times 415 \approx 265.6 \approx 266
\]
Thus, for the class of 2025, we would expect about **266 seniors to have a driver's license**.