SOLUTION: The consumption of cigarettes is declining. If t represents the number of years since 1985, then the consumption, C, is modeled by C=-14.25t+598.69 where C represents the nu

Algebra ->  Linear-equations -> SOLUTION: The consumption of cigarettes is declining. If t represents the number of years since 1985, then the consumption, C, is modeled by C=-14.25t+598.69 where C represents the nu      Log On


   



Question 251933: The consumption of cigarettes is declining. If t represents the number of years since 1985, then the consumption, C, is modeled by
C=-14.25t+598.69

where C represents the number of billions of cigarettes smoked per year.
Write an inequality to show the first year cigarette consumption is less than 200 billion cigarettes a year

Found 2 solutions by checkley77, stanbon:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
C=-14.25t+598.69
200=-14.25t+598.69
-14.25t=200-598.69
-14.25t=-398.69
t=-398.69/-14.25
t=27.98 or 28 years.
1985+28=2013 is the projected year for 200,000,000 smokers.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The consumption of cigarettes is declining. If t represents the number of years since 1985, then the consumption, C, is modeled by
C=-14.25t+598.69
where C represents the number of billions of cigarettes smoked per year.
Write an inequality to show the first year cigarette consumption is less than 200 billion cigarettes a year
===================
Inequality:
-14.25t + 598.69 < 200
14.25t > 598.69-200
14.25t > 398.69
t > 27.97 years
----
1985 + 27.97 = 2012.97
Rounding up the year would be 2013
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Cheers,
Stan H.