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
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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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, t which is the percent p of high school seniors who have tried marijuana.

That is, p = f(t) = 0.17t2  2.61t + 52.64

To determine the year after 2000, such that, percent predicted reaches 65%.

Therefore,

0.17t2  2.61t + 52.64=650.17t2  2.61t -12.36=0

 

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