SOLUTION: The percentage of adult smokers in the U.S. is declining each year. If t represents the number of years since 1997, then P(t) = -0.51t + 24.675 represents the corresponding p

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Question 263955: The percentage of adult smokers in the U.S. is declining each year. If t represents the number of years since 1997, then
P(t) = -0.51t + 24.675
represents the corresponding percentage of adults who smoked cigarettes during that year.
Write an inequality that can be used to determine the first year in which the percentage of adult smokers falls below 15%.

Solve the inequality in part a using an algebraic as well as a graphical approach.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the percentage of adult smokers in the U.S. is declining each year.
If t represents the number of years since 1997, then
P(t) = -0.51t + 24.675
represents the corresponding percentage of adults who smoked cigarettes during that year.
Write an inequality that can be used to determine the first year in which the percentage of adult smokers falls below 15%.
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15 > -0.51t + 24.675
-0.51t < -9.675
t > 18.97
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Earliest year: 1997+18.97 = 2015.97; rounded up is 2016
Solve the inequality in part a using an algebraic as well as a graphical approach.
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P(t) = -0.51t + 24.675
graph%28400%2C300%2C-40%2C60%2C-5%2C50%2C15%2Cy%3C-0.51x%2B24.675%29
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Cheers,
Stan H.