Question

Sales The sales S (in billions of dollars) for walgreens from 2000 through 2010 can be modeled by the exponential function

S(t) = 22.52(1.125)t
Where t is the time in years,with t = 0 corresponding to 2000.
(a) Use the model to estimate the sales in 2014.
(b) Use the model to estimate the sales in 2018.

Answer 1

(a) 117.1 billions of dollars

(b) 187.6 billions of dollars

Explanation:

The sales S (in billions of dollars) for walgreens from 2000 through 2010 can be modeled by the exponential function.

`S(t)=22.52(1.125)^(t)`

where t is the time in years, with t = 0 corresponding to 2000.

(a) In 2014, t = 2014 - 2000 = 14

`S(t)=22.52(1.125)^(14)=117.1`

(b) In 2018, t = 2018 - 2000 = 18

`S(t)=22.52(1.125)^(18)=187.6`