QUESTION IMAGE
Question
the table shows the number of students in the senior class and the number of seniors who have a drivers license. 12. what pattern is there between the number of seniors and the seniors who have a drivers license? 13. select the correct choice below and fill in the answer box to complete your choice. (round to the nearest integer as needed.) a. each year, about □ % of the senior class have a drivers license. b. each year, about □ seniors do not have a drivers license. 14. the class of 2025 has 416 seniors. how many seniors in the class of 2025 would be expected to have a drivers license?
Step1: Calculate the percentage of seniors with a license for each year
For 2021: $\frac{26}{47}\times100\approx55\%$
For 2022: $\frac{24}{39}\times100\approx62\%$
For 2023: $\frac{28}{40}\times100 = 70\%$
For 2024: $\frac{29}{31}\times100\approx94\%$
There seems to be no clear - cut pattern to predict exactly for 2025. But if we assume we use the average percentage of the last few years (let's take 2022 - 2024).
The sum of the percentages of 2022 - 2024 is $62 + 70+94=226\%$, and the average is $\frac{226}{3}\approx75\%$.
Step2: Calculate the expected number of seniors with a license in 2025
There are 416 seniors in 2025. The expected number of seniors with a license is $416\times0.75 = 312$.
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It is expected that about 312 seniors in the class of 2025 would have a driver's license.