SOLUTION: 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 prescrip

Algebra ->  Finance -> SOLUTION: 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 prescrip      Log On


   

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
(b) 2009
(c) Assuming that this model remains accurate, in what year will the number of prescriptions be 5,750,000,000?
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Simply substitute x with 8 for part (a), and x with 9 for part (b). Solve the EQUATION for x for part (c).

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The number of retail drug prescriptions​ (in millions) can be approximated by
y=85.94x%2B2918.45
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%2A8%2B2918.45
y=3605.97

(b) 2009
=> x=9
y=85.94%2A9%2B2918.45
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%2Ax%2B2918.45
5750+-+2918.45=85.94%2Ax
2831.55=85.94%2Ax
x=2831.55%2F85.94
x=32.95
in 32.95 years, by the end of 2032 the number of prescriptions be 5750 millions