SOLUTION: Smoking. the percentage of smokers who receive telephone counseling and successfully quit smoking for t months is given by P(t)=21.4(o.914)^t In what month will 15% of thos

Question 1081990: Smoking. the percentage of smokers who receive telephone counseling and successfully quit smoking for t months is given by P(t)=21.4(o.914)^t
In what month will 15% of those who quit and used telephone counseling still be smoke free?
In what month will 5% of those who quit and used telephone counseling still be smoke free?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
15=21.4(0.914)^t
0.7009=0.914^t
ln both sides
-0.3553=t *-0.0899, that is the ln of 0.914
t=3.95, in the fourth month. The closest is four months.
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5/21.4, ln of both sides and divide out the constant on the right side
-1.453/-0.0899=t=16.17 months. After 16 months.
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