Question 1153733

The number of retail drug prescriptions​ (in millions) can be approximated by

{{{y=85.94x+2918.45}}}

where {{{x=0}}} corresponds to the year {{{2000}}}. 

Find the approximate number of prescriptions in the following years. 


(a) {{{2008}}}

=> {{{x=8}}}

{{{y=85.94*8+2918.45}}}

{{{y=3605.97}}}


(b) {{{2009}}}

=> {{{x=9}}}

{{{y=85.94*9+2918.45}}}

{{{y=3691.91}}}


(c) Assuming that this model remains accurate, in what year will the number of prescriptions be {{{5750000000}}}? 

=>{{{y=5750}}} millions

{{{5750=85.94*x+2918.45}}}

{{{5750 - 2918.45=85.94*x}}}

{{{2831.55=85.94*x}}}

{{{x=2831.55/85.94}}}

{{{x=32.95}}}

in {{{32.95}}} years, by the end of {{{2032}}}  the number of prescriptions be {{{5750}}} millions