SOLUTION: The number of men dying of AIDS (in thousands) since 1987 is modeled by y= 17.3 + 10.06(lnx), where x, represents the number of years after 1987. Use this model to predict the num

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The number of men dying of AIDS (in thousands) since 1987 is modeled by y= 17.3 + 10.06(lnx), where x, represents the number of years after 1987. Use this model to predict the num      Log On


   

Question 87063: The number of men dying of AIDS (in thousands) since 1987 is modeled by y= 17.3 + 10.06(lnx), where x, represents the number of years after 1987. Use this model to predict the number of AIDS deaths among men in 2008. Round to the nearest hundres men.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since x represents the number of years after 1987, we can say that x=0 represents 1987, x=1 represents 1988, etc. So lets find out how many years have elapsed from 1987 to 2008

2008-1987=21 Subtract 1987 from 2008

Since 21 years have passed (its 21 years after 1987), this means x=21 represents the year 2008. So to estimate the number of deaths, simply plug in x=21 into the formula:

y=+17.3+%2B+10.06%2Aln+%28x%29

y=+17.3+%2B+10.06%2Aln+%2821%29 Plug in x=21

y=+17.3+%2B+10.06%2A3.0445 Evaluate the natural log of 21 to get 3.0445 with a calculator
note: many calculators, if not all of them, denote natural log with the "ln" button.

y=+17.3+%2B+30.62767 Multiply 10.06 and 3.0445 to get 30.62767

y=47.92767 Add 17.3 and 30.62767 to get 47.92767

So about 48,900 men (remember y represents thousands of men) are estimated to die from AIDS in 2008