For the years since 2001, the percent p of high school seniors who have tried marijuana can be considered as a function of time t according to p = f(t) = 0.17t2 − 2.61t + 52.64 where t is the number of years past 2000.† In what year after 2000 is the percent predicted to reach 65%, if this function remains valid?
For the years since 2001, the percent p of high school seniors who have tried marijuana can be considered as a function of time t according to p = f(t) = 0.17t2 − 2.61t + 52.64 where t is the number of years past 2000.† In what year after 2000 is the percent predicted to reach 65%, if this function remains valid?
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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For the years since 2001, the percent p of high school seniors who have tried marijuana can be considered as a function of time t according to
p = f(t) = 0.17t2 − 2.61t + 52.64
where t is the number of years past 2000.† In what year after 2000 is the percent predicted to reach 65%, if this function remains valid?
Expert Solution
Step 1
Given a function of time, which is the percent of high school seniors who have tried marijuana.
That is,
To determine the year after 2000, such that, percent predicted reaches .
Therefore,
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