the table shows the number of students in the senior class and the number of seniors who have a drivers…

the table shows the number of students in the senior class and the number of seniors who have a drivers license.\nyear 2021 2022 2023 2024\nnumber of seniors 343 360 302 379\nseniors with a license 223 238 197 245\n13. what pattern is there between the number of seniors and the seniors who have a drivers license?\n14. the class of 2025 has 420 seniors. how many seniors in the class of 2025 would be expected to have a drivers license?\n13. select the correct choice below and fill in the answer - box to complete your choice.\n(round to the nearest integer as needed.)\na. each year, about seniors do not have a drivers license.\nb. each year, about % of the senior class have a drivers license.
Answer
Explanation:
Step1: Calculate the percentage of seniors with license each year
For 2021: $\frac{273}{343}\times100%\approx79.6%$; For 2022: $\frac{238}{360}\times100%\approx66.1%$; For 2023: $\frac{197}{302}\times100%\approx65.2%$; For 2024: $\frac{245}{379}\times100%\approx64.6%$. The percentages are relatively close.
Step2: Select the pattern
The pattern is that each year, about a certain percentage of the senior - class have a driver's license.
Step3: Calculate the expected number for 2025
First, find the average percentage of seniors with license. $\frac{79.6 + 66.1+65.2 + 64.6}{4}\times100%\approx68.9%$. If there are 420 seniors in 2025, the expected number of seniors with license is $420\times0.689 = 290.38\approx290$.
Answer:
- B. Each year, about 69% of the senior class have a driver's license.
- 290