題組內容

2. If the rate of growth is proportional to both the quantity y and the difference between the quantity and the limit L, then it follows the law of the logistic growth model. (25%)

(d) The proportion of U.S. households that own a cell phone relates to the year, with a limit of 0.95. Let \( t = 0 \) represent 2000, \( t = 1 \) represent 2001, and so on. If the proportion of U.S. households that own a cell phone in 2000 is \( 23.75\% \), and in 2005 the proportion is \( 59.16\% \), find a logistic growth model for this data. (10%)