The percent of high school students who smoked cigarettes on 1 or more of the 30 days preceding the survey is given by y=-0.064x² +0.277x + 33.715, where x is the number of years after 1990. During what years from 1990 on is the percent greater than 30%? From to the percent is greater than 30%. (Round up to the nearest year as needed.) KIXE
The percent of high school students who smoked cigarettes on 1 or more of the 30 days preceding the survey is given by y=-0.064x² +0.277x + 33.715, where x is the number of years after 1990. During what years from 1990 on is the percent greater than 30%? From to the percent is greater than 30%. (Round up to the nearest year as needed.) KIXE
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Educational Content: Percentage of High School Student Smokers**
The percentage of high school students who smoked cigarettes on one or more of the 30 days preceding the survey is represented by the quadratic equation:
\[ y = -0.064x^2 + 0.277x + 33.715 \]
In this equation, \( x \) stands for the number of years after 1990.
**Question:** During which years from 1990 onward is this percentage greater than 30%?
**Solution Format:**
- From [start year] to [end year], the percentage is greater than 30%.
- Note: Please round up to the nearest year as needed.
**Explanation:**
This task requires solving the quadratic inequality to find the specific years where the percentage exceeds 30. Students will need to substitute different values for \( x \) to determine the range of years that satisfy this condition.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa0775f4f-4f78-48a8-b68d-a762f326d59e%2Fe6af823d-d4ca-4f14-8c7d-40eeef12b0a4%2Fnxrzgms_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Content: Percentage of High School Student Smokers**
The percentage of high school students who smoked cigarettes on one or more of the 30 days preceding the survey is represented by the quadratic equation:
\[ y = -0.064x^2 + 0.277x + 33.715 \]
In this equation, \( x \) stands for the number of years after 1990.
**Question:** During which years from 1990 onward is this percentage greater than 30%?
**Solution Format:**
- From [start year] to [end year], the percentage is greater than 30%.
- Note: Please round up to the nearest year as needed.
**Explanation:**
This task requires solving the quadratic inequality to find the specific years where the percentage exceeds 30. Students will need to substitute different values for \( x \) to determine the range of years that satisfy this condition.
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