The numbers d (in millions) of drug prescriptions filled by independent outlets in the United States from 2000 through 2007 can be approximated by the model

d(t)= 10.6t + 699, 0 ≤ t ≤ 4
15.5t + 637, 5 ≤ t ≤ 7

where t represents the year, with t=0 corresponding to 2000.

Use this model to find the number of drug prescriptions filled by independent outlets in each year from 2000 through 2007.

1 answer

what's the trouble? Just sub in the values. Just watch that you change which definition of d(t) you use for the portions of the domain.

year t d(t)
2000 0 10.6+0+699 = 699
2001 1 ...
...
2005 5 15.5*5+637 = 7145
2006 6 ...
...