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

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) (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

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 into the formula:

Plug in

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.

Multiply and to get

Add and to get

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