Question

The numbers of freestanding ambulatory care surgery centers in the United States from $ 2000 $ through $ 2007 $ can be modeled by $ y = 2875 + \dfrac{2635.11}{1 + 14.215e^{0.8038t^,}} 0 \le t \le 7 $ where $ t $ represents the year, with $ t = 0 $ corresponding to $ 2000 $.(Source: Verispan) (a) Use a graphing utility to graph the model. (b) Use the trace feature of the graphing utility to estimate the year in which the number of surgery centers exceeded $ 3600 $.

Name: Problem 134, Chapter 3: Precalculus with Limits
Uploaded: 2020-06-23T23:39:13-08:00
Duration: 1 min 29 s
Channel: Heather Zimmers

   The  numbers  of  freestanding  ambulatory care  surgery  centers  in  the  United  States  from $ 2000 $ through $ 2007 $ can  be  modeled  by

$ y = 2875 + \dfrac{2635.11}{1 + 14.215e^{0.8038t^,}} 0 \le t \le 7 $

where $ t $ represents  the  year,  with $ t = 0 $ corresponding to $ 2000 $.(Source:  Verispan)

(a)  Use  a  graphing  utility  to  graph  the  model.

(b)  Use  the  trace feature  of  the  graphing  utility  to  estimate  the  year  in  which  the  number  of  surgery  centers  exceeded $ 3600 $.

Precalculus with Limits

Ron Larson 2nd Edition

Chapter 3, Problem 134

Instant Answer

Solved by Expert Heather Zimmers

06/23/2020

Step 1

To do this, we use a graphing utility and input the function $ y = 2875 + \dfrac{2635.11}{1 + 14.215e^{0.8038t^,}} $ where $ 0 \le t \le 7 $. Show more…

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The numbers of freestanding ambulatory care surgery centers in the United States from $ 2000 $ through $ 2007 $ can be modeled by $ y = 2875 + \dfrac{2635.11}{1 + 14.215e^{0.8038t^,}} 0 \le t \le 7 $ where $ t $ represents the year, with $ t = 0 $ corresponding to $ 2000 $.(Source: Verispan) (a) Use a graphing utility to graph the model. (b) Use the trace feature of the graphing utility to estimate the year in which the number of surgery centers exceeded $ 3600 $.