In a city of half a million, there are initially 200 cases of a particularly virulent strain of flu. The Centers for Disease Control and Prevention in Atlanta claims that the cumulative number of infections of this flu strain will increase by 40% per week if there are no limiting factors. Make a logistic model of the potential cumulative number of cases of flu as a function of weeks from the initial outbreak, and determine how long it will be before 100,000 people are infected. (Round your answer to two decimal places.) _______weeks

An experiment involves dropping a ball and recording the distance it falls (y) for different times (x) after it was released. Construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models. Time (seconds) Distance (meters) 0.5 1 1.2 4.8 1.5 10.7 2 18.5 2.5 3 28 38.9 Choose the correct scatterplot below. OA. B. Q 50- 50- 40- ° 40-0 a 30- 20- 20- 10- 0- 2 G 10- 0- 0 1 2 C. O D. Q 50- 40- 30- 20- 10- о 0 1 2 3 Q 50- 40- Q 30- 20- ° G 10- ° ° 0- 0 1 2 What is the equation of the best model? Select the correct choice below and fill in the answer boxes to complete your choice. Enter only nonzero values. (Type integers or decimals rounded to three decimal places as needed.) OA. y= OB. y= + Inx OC. y= OD. y= OE. y= x + x+ о

China had a population in 2008 of about 1.14 billion people.  The populaton is growing by about 1.34% each year.  If this trend continues, when will China's population reach 1.2 billion.