Mth114 S2007 Q4

MTH 114 Quiz 4
La Salle University
Dr. R. DiDio
Spring 2007


The following table shows the yearly revenue in $1,000’s of a Center City restaurant that opened in 2000.

Year Revenue ($K)
2000 30
2001 50
2002 117
2003 265
2004 512
2005 820
2006 880

a) Why does this data suggest that a logistic will be a good model for the growth of revenue?

b) Determine a logistic model for the revenue as a function of years since the restaurant opened. (Name your function and input variable appropriately.)

c) Based on your model, what will be the ultimate revenue of the restaurant after many years of operation? Express this question first in terms of your model.

d) Based on your model, when will you reach 99% of your answer to (c)? Express this question first in terms of your model.

Unless otherwise stated, the content of this page is licensed under Creative Commons Attribution-Share Alike 2.5 License.