grammy: the percentage of people age 18-24 who smoke has dropped from 5.2% in 2001 to 3.4% in 2004. Calculate the percentage of people age 18-24 who smoked in 2003 and estimate the percentage of people age18-24 who smoked in 2008
the only (main) really confusing part of this question, for you i mean, is that the percentages quoted have got nought to do with the percent reduction of smokers. if you change the percentages given to decimals that may help a little.
S = P(1-r)
n P is the initial percentage = 5.2% = 0.052
S is the future percentage
n is the number of years since 2001
r is the yearly percent decrease in smokers percentage
0.034 = 0.052(1-r)
3 0.653846 = (1-r)
3 0.653846
1/3 = 1-r
r = 1 - 0.653846
1/3 r = 0.132
so the percentage of smokers is decresing by an aveerage of 13.2% per annum
S = 0.052 * (1-0.132)
n S = 0.052 * 0.868
n For 2003, n=2
S = 0.052 * 0.868
2 = 0.039
that is, in 2003, 3.9% of the age group smoked.
Always check that your answer is sreasonable. This is between the 2001 and the 2004 values so sounds reasonable
You can do 2008 yourself.